Questions on Geometry: Triangles answered by real tutors!

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Question 1185143: Point P is inside the isosceles right triangle ABC. AP is 15 cm, BP is 9 cm and CP is 12 cm as shown. Determine the area of the triangle ABC.
Click here to see answer by greenestamps(13195) About Me 

Question 1185305: Determine the values of k if 3k²=8k+8

Click here to see answer by greenestamps(13195) About Me 

Question 1185321: The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.
Click here to see answer by ikleyn(52750) About Me 

Question 1185328: In a triangle XY parallel to BC if ax=3cm,XB=1.5cm and BC=6cm then XY=?
Click here to see answer by ikleyn(52750) About Me 

Question 1185478: Given that the area of an equilateral triangle is 310 cm2, find its perimeter.
Click here to see answer by Theo(13342) About Me 

Question 1185491: https://drive.google.com/file/d/1KhveEj_-N8YOkqC3aSnyIkvBx_701AxL/view?usp=sharing
in the diagram in the link, find the measure, in degrees, of angle c

Click here to see answer by greenestamps(13195) About Me 

Question 1185643: Hello! Could you please help my child with these questions? Would appreciate if could please include an explanation for each answer.
Please determine if the statements below are ALWAYS , SOMETIMES or NEVER True. Please justify your answer.
If AB≅BC in ΔABC, then ∠BAC≅∠ABC.Always, sometimes, never?
If ∠BAC≅∠ABC in ΔABC, then AB≅BC. Always, sometimes, never?
CPCTC can be used as a reason in a proof for proving triangles congruent. Always, sometimes, never?



Click here to see answer by ikleyn(52750) About Me 

Question 1185801: A kite is flying on 170 feet of string. How high is it above the ground if its height is 82 feet more than the horizontal distance from the person flying​ it? Assume the string is being released at ground level.
The kite is _____ feet above ground.

Click here to see answer by Alan3354(69443) About Me 
Question 1185801: A kite is flying on 170 feet of string. How high is it above the ground if its height is 82 feet more than the horizontal distance from the person flying​ it? Assume the string is being released at ground level.
The kite is _____ feet above ground.

Click here to see answer by greenestamps(13195) About Me 

Question 1185947: Hello,
My question is about congruent triangles.
I don't know if it is possible to post pictures here so am posting a link to the image. Would greatly appreciate your help
https://imagizer.imageshack.com/img922/3730/cSJmJo.jpg

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1185947: Hello,
My question is about congruent triangles.
I don't know if it is possible to post pictures here so am posting a link to the image. Would greatly appreciate your help
https://imagizer.imageshack.com/img922/3730/cSJmJo.jpg

Click here to see answer by math_helper(2461) About Me 

Question 1185946: How do I upload images here? My question is about congruent triangles.
Would appreciate your help!

Click here to see answer by MathLover1(20849) About Me 
Question 1185946: How do I upload images here? My question is about congruent triangles.
Would appreciate your help!

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1186236: in the diagram AB = 2CB. the ratio of the area of the square to the area of triangle ABC is
https://drive.google.com/file/d/1OLoNfOQimyKibR2ZeSMbdlu-oaWReT8h/view?usp=sharing

Click here to see answer by greenestamps(13195) About Me 

Question 1186246: If three angles of a triangle are in the ratio 3:4:5 find the value of each angle.
Click here to see answer by greenestamps(13195) About Me 

Question 1186309: Hello,
Could you please help me with this question?
IMG-4943

Click here to see answer by josgarithmetic(39613) About Me 
Question 1186309: Hello,
Could you please help me with this question?
IMG-4943

Click here to see answer by greenestamps(13195) About Me 
Question 1186309: Hello,
Could you please help me with this question?
IMG-4943

Click here to see answer by robertb(5830) About Me 

Question 1186339: What is the measure, to the nearest degree, of∠A in the triangle shown in the image? Would 29° be correct? Here is a link to the image: https://imgur.com/a/GeAASSL
Click here to see answer by josgarithmetic(39613) About Me 

Question 1186406: Describe the lengths of the third side of the triangle given the lengths of the other 2 sides.
6 and 6

Click here to see answer by Alan3354(69443) About Me 
Question 1186406: Describe the lengths of the third side of the triangle given the lengths of the other 2 sides.
6 and 6

Click here to see answer by ikleyn(52750) About Me 

Question 1186436: Could you please help me with this question about restriction on x? Would greatly appreciate if you could please share the steps to solve it.
IMG-4972-xrestrictions

Click here to see answer by greenestamps(13195) About Me 
Question 1186436: Could you please help me with this question about restriction on x? Would greatly appreciate if you could please share the steps to solve it.
IMG-4972-xrestrictions

Click here to see answer by MathLover1(20849) About Me 

Question 1186673: Could you please help with finding angle DEF?
IMG-5104-findangle

Click here to see answer by greenestamps(13195) About Me 

Question 1186761: Two angles Of an oblique triangle are 60 degree And 50 degree And their included side is 200 cm long. Find it’s area.
Click here to see answer by Alan3354(69443) About Me 

Question 1187049: Triangle ABC has vertices A(-2,3), B(1,-3) and C(p,1). For how many values of p is the triangle isosceles?
Click here to see answer by MathLover1(20849) About Me 
Question 1187049: Triangle ABC has vertices A(-2,3), B(1,-3) and C(p,1). For how many values of p is the triangle isosceles?
Click here to see answer by ikleyn(52750) About Me 

Question 1187048: How many scalene triangles have perimeter less than 15 and sides of integral length?
Click here to see answer by MathLover1(20849) About Me 
Question 1187048: How many scalene triangles have perimeter less than 15 and sides of integral length?
Click here to see answer by greenestamps(13195) About Me 

Question 1187126: The triangle is 30-60-90
12ft base next to 60 degrees ( I wish I could attach an image)
1. Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
2. What is the exact area of triangle XYZ? Leave your answer in radical terms. I came up with 6 square 3
3. What is the area of triangle XYZ to the nearest tenth of a square in? \( 1350^2 I think) I'm really trying to make sure but I'm confused


Click here to see answer by MathLover1(20849) About Me 

Question 1187168: The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. ft., find its base and height.
Click here to see answer by ikleyn(52750) About Me 

Question 1187307: What is the missing side length in the image? Tell if the side lengths form a Pythagorean triple. Explain.
Here is a link to the image: https://imgur.com/a/E3FiPtQ
For this problem I got 15 as the missing side length; and yes the side lengths form a Pythagorean triple. Explanation: The set (15, 20, 25), which gives the side lengths of this triangle, is the Pythagorean triple (3, 4, 5) multiplied by 5. Would my answer to this be correct?

Click here to see answer by josgarithmetic(39613) About Me 
Question 1187307: What is the missing side length in the image? Tell if the side lengths form a Pythagorean triple. Explain.
Here is a link to the image: https://imgur.com/a/E3FiPtQ
For this problem I got 15 as the missing side length; and yes the side lengths form a Pythagorean triple. Explanation: The set (15, 20, 25), which gives the side lengths of this triangle, is the Pythagorean triple (3, 4, 5) multiplied by 5. Would my answer to this be correct?

Click here to see answer by MathTherapy(10549) About Me 

Question 1187449: If m∠M = m∠Y and m∠N = m∠Z, then what is the length of side XY?
Here is a link to the image: https://imgur.com/a/QyRd6jG
For this I got XY = 12, would this be correct?

Click here to see answer by MathLover1(20849) About Me 

Question 1187459: In the diagram below, find the measure of Angle BFD.
Diagram:
https://ibb.co/cCs2hgj

Click here to see answer by ikleyn(52750) About Me 

Question 1187458: In the diagram, Line BE=80 cm, and Line AC=Line DC. Find the length of Line BC, in cm.
Diagram:
https://ibb.co/dL2T5DW

Click here to see answer by ikleyn(52750) About Me 
Question 1187458: In the diagram, Line BE=80 cm, and Line AC=Line DC. Find the length of Line BC, in cm.
Diagram:
https://ibb.co/dL2T5DW

Click here to see answer by Alan3354(69443) About Me 

Question 1187457: In the diagram below, Triangle ABC is isosceles, and Triangle MPQ is equilateral. Find the length, in cm, of Line PC.
Diagram:
https://ibb.co/2kGmVg2

Click here to see answer by ikleyn(52750) About Me 
Question 1187457: In the diagram below, Triangle ABC is isosceles, and Triangle MPQ is equilateral. Find the length, in cm, of Line PC.
Diagram:
https://ibb.co/2kGmVg2

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1187511: Write the sides of ∆IJK in order from shortest to longest.
Here is a link to the image: https://imgur.com/a/49pRgFR
I got: JK, IK, IJ
Would this be correct?

Click here to see answer by ikleyn(52750) About Me 

Question 1187655: Explain why ∆ABC ~ ∆DBE and then find BC. Would my answer be correct?
Here is a link to the image: https://imgur.com/a/YOInNLJ
This is my answer:
AC \\ DE by the Converse of the Corresponding Angles Postulate. ∠A ≅ ∠BDE by the Corresponding Angles Postulate. ∆ABC ~ ∆DBE by AA Similarity. Corresponding sides are proportional, so BC = 42.

Click here to see answer by MathLover1(20849) About Me 

Question 1187622: The perimeter of the triangle ABC is 375m. Angle A is 40° and Angle B is 60°. Determine the shortest side of the triangle.
Click here to see answer by MathLover1(20849) About Me 
Question 1187622: The perimeter of the triangle ABC is 375m. Angle A is 40° and Angle B is 60°. Determine the shortest side of the triangle.
Click here to see answer by Alan3354(69443) About Me 

Question 1187560: Explain why ∆ABC ~ ∆DBE and then find BC.
Here is a link to the image: https://imgur.com/a/YOInNLJ
This is my answer:
AC \\ DE by the Converse of the Corresponding Angles Postulate. ∠A ≅ ∠BDE by the Corresponding Angles Postulate. ∆ABC ~ ∆DBE by AA Similarity. Corresponding sides are proportional, so BC = 42.

Click here to see answer by KMST(5328) About Me 

Question 1187795: One side of triangle has an equation of 2x - 5 next side has 3x + 20 and the last side has 2x. I need to solve for x
My answers: x = 3
I'm having trouble because i know all sides are supposed to equal 180 and when I replaced x with 3 for all sides it didn't add up to 180

Click here to see answer by josgarithmetic(39613) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690