Questions on Geometry: Triangles answered by real tutors!

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Question 1100931: In PRS, segment PT is an altitude and segment PX is a median.
Find RS if RX = x + 7 and SX = 3x � 11
Find RT if RT = x � 6 and PTR = 8x - 6
Click here to see answer by ikleyn(53763)

Question 1101135: ABC is a right triangle with area 30. The hypotenuse AC =13 and AB =5. Pick a point D in the interior of the triangle. X is the distance from D to the side AB, Y is the distance from D to the side AC, and Z is the distance from D to the side BC. Calculate 5X+13Y+12Z.
Click here to see answer by greenestamps(13334)

Question 1101442: if the vertices of a triangle are A (1,3) B (3,4) and C (1,-4) find its area.
A) 10
B) 7
C)9
D)12
E) 18
Click here to see answer by htmentor(1343)

Question 1101442: if the vertices of a triangle are A (1,3) B (3,4) and C (1,-4) find its area.
A) 10
B) 7
C)9
D)12
E) 18
Click here to see answer by Alan3354(69443)

Question 1101456: Two sides of a triangular field are 120m and 200m. If the angle between the sides is 68 degree, find the area of the field in hectares?

Click here to see answer by Alan3354(69443)

Question 1101472: An obtuse triangle has angle measurements of 100�, 60�, and 20�. If the longest side of this triangle is 20 feet, what is the length of its shortest side, s?
Click here to see answer by Alan3354(69443)

Question 1101251: How many triangles XYZ can be formed with angle x =30,x=3 and y=8

Click here to see answer by ankor@dixie-net.com(22740)

Question 1101251: How many triangles XYZ can be formed with angle x =30,x=3 and y=8

Click here to see answer by greenestamps(13334)

Question 1101660: if triangle LMN is isosceles and T is the midpoint on LN, what postulate can be used to prove triangle MLT= triangle MNT
Click here to see answer by ikleyn(53763)

Question 1101660: if triangle LMN is isosceles and T is the midpoint on LN, what postulate can be used to prove triangle MLT= triangle MNT
Click here to see answer by greenestamps(13334)

Question 1101731: Sides: 23mm 20mm 13mm angles: 62� 72� and 46� What triangle is that???

Click here to see answer by greenestamps(13334)

Question 1101717: The ratio of the side of traingle is 2:√6:1+√3.
Find the ratio of the measure of the angles
Click here to see answer by Boreal(15235)

Question 1101801: 9x-25+104=180

Click here to see answer by josgarithmetic(39799)

Question 1101828: ABC is a right angle isosceles triangle, angle BCA = 90, with BC as the base and AB as hypotenuse side AC = BC. Point M is at midpoint on hypotenuse such that BM=MA=20cm. P and Q are points on sides BC and AC respectively. A equilateral triangle is formed by joining MPQ. Find the length, in CM, of segment PC.
Click here to see answer by Boreal(15235)

Question 1101838: The measure of the vertex angle of an isosceles triangle is 50 degrees. Find the measure of an exterior angle to one of the base angles of the triangle.
Click here to see answer by josgarithmetic(39799)

Question 1101877: A triangle with sides 32 cm, 60 cm, and 68 cm is cut into parts that form a quadrilateral. Find, in cm^2, the area of the largest quadrilateral that can be formed.
Click here to see answer by greenestamps(13334)

Question 1101878: Triangle ABC is an equilateral triangle with sides of length 3 cm. AB, AC, and BC are arcs of circles having their centres at C, B, and A respectively. Find the total area of the non-shaded region (the area of the triangle itself, not including the arcs), in cm^2.
Click here to see answer by KMST(5347)

Question 1102075: Please help me to solve this problem :The area of a right triangle is 6cmsquare.if one of the sides containing the right is 4cm find the length of its hypotenuse
Click here to see answer by Theo(13342)

Question 1102083: The side lengths of four triangles are listed below. Select all answer choices that could represent a right triangle.
1 point
10, 15, 20
8, 15, 17
5, 12, 13
4, 5, 6

Click here to see answer by Alan3354(69443)

Question 1102400: Find the area of triangleABC IF E is mid point if AB,AC=12cm andCE=6.5cm

Click here to see answer by greenestamps(13334)

Question 1102420: Find the value of x. The two triangles are kissing making vertical angles. Side A D is 27 cm and side CE on the other triangle is 23.4. Side CD is 12 CM. The answer is 10.4. How do you solve
Click here to see answer by ikleyn(53763)

Question 1102459: A circular clock has dots on its boundary which indicate the numbers 1 to 12. The dots representing 10 and 2 are 24cm apart. Find the radius of the clock.
Click here to see answer by richwmiller(17219)

Question 1102503: ABC is an equilateral triangle with circumcentre O. What is the ratio AO+BO+CO to the perimeter of the triangle?
Click here to see answer by greenestamps(13334)

Question 1102508: n the figure triangle abc is congruent to triangle bch which is congruent to triangle hgb is it possible to determine angle gbh why?
Click here to see answer by KMST(5347)

Question 1102752: 10. Find the value of x.
Image URL: http://prntscr.com/hg0l9r
(1 point)

a) 10
b) 15
c) 20
d) 25
Click here to see answer by Fombitz(32388)

Question 1102752: 10. Find the value of x.
Image URL: http://prntscr.com/hg0l9r
(1 point)

a) 10
b) 15
c) 20
d) 25
Click here to see answer by josgarithmetic(39799)

Question 1102886: True or false: It is not possible to prove one pair of triangles congruent and then use their congruent corresponding parts to prove another pair congruent.
Hi, everyone! Can anyone answer this question for me, please? I have never heard or learned anything about this. My textbook does not have any information in regards to it, either, and all the resources I have gone to do not have anything useful. I feel like it's false, but I honestly just don't know. If you could help me out, I would greatly appreciate it.
Thanks so much,
RR :)
Click here to see answer by KMST(5347)

Question 1102903: Image URL: https://imgur.com/apZRecy.png
Find the measure of each angle in the figure.
Click here to see answer by Boreal(15235)

Question 1102901: Image URL: https://i.imgur.com/nAWkg5v.png
Find the measure of each angle in the figure.

Click here to see answer by josgarithmetic(39799)

Question 1102973: ABC is an isosceles triangle and DBE is an equilateral triangle, find each missing
measure.

Click here to see answer by greenestamps(13334)

Question 1102972: In triangle KLM, if ∠K ≅ ∠L , KL = 9x � 40, LM = 7x � 37, and KM = 3x + 23, find x and the
measure of each side.

Click here to see answer by Theo(13342)

Question 1102998: Which triangles are congruent by the AAS Postulate using the information in the diagram?
Hi, everyone. Can anyone answer this question for me? Here is the link to the diagram:
https://api.agilixbuzz.com/Resz/~6iS9DAAAAAgSORKaPE4CXA.4G4_N4kXQGkrN7BjyqtDAC/19791661,BBD/Assets/assessmentimages/geo%20part%201%20u3l5%208.jpg
(You'll have to copy and paste this into your search bar... Sorry for the inconvenience.)
The answer choices are as follows: (a) ∆ABE ≅ ∆EDA, (b) ∆ABE ≅ ∆CBE, (c) ∆ABE ≅ ∆EDF, and (d) ∆ADC ≅ ∆EBC. I definitely know that (a) and (d) are not the right answers, but I am stuck on (b) and (c). If you could help me, I would greatly appreciate it. :)
--RR :)
Click here to see answer by Edwin McCravy(20081)

Question 1103165: find the orthocenter of a triangle with the given vertices:
U(-4,-9), V(-4,6),W(5,-3)
Click here to see answer by richwmiller(17219)

Question 1103177: LAW OF SINES!
Angle A is 25 degrees, angle C is 36 degrees. Side AB is 28, what is Ac and BC?
Click here to see answer by Alan3354(69443)

Question 1103180: Angle A is 80 degrees. Side AC is 14 and side Bc is 31. What are measures of angles b and c, and the AB.
Click here to see answer by Fombitz(32388)

Question 1103104: triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x,
and QS is one less than four times x, find x and the measure of each side.
Click here to see answer by Boreal(15235)

Question 1103179: Angle A is 10 degrees, angle B is 47 degrees. Side Cb is 59, find AC and AB.
Click here to see answer by Alan3354(69443)

Question 1103264: Two vertical poles have heights 7 ft. and 12 ft. A rope is stretched from the top of each poles to the bottom of the other. How far above the ground do the ropes cross?
Click here to see answer by Alan3354(69443)

Question 1103272: What is the value of y?

Enter your answer in the box.
y =
An isosceles triangle with vertices labeled A, B, and C. Side B C is the base. Sides A B and A C are equal. Sides A B and A C are labeled with single tick marks. Angle A is labeled as left parenthesis 4 y plus 10 right parenthesis degrees, angle B is labeled as 75 degrees, and angle C is labeled as left parenthesis 3 x right parenthesis degrees.
Click here to see answer by josgarithmetic(39799)

Question 1103283: Image URL: https://i.imgur.com/Yh3FIqq.png
Find x and y.

Click here to see answer by Fombitz(32388)

Question 1103283: Image URL: https://i.imgur.com/Yh3FIqq.png
Find x and y.

Click here to see answer by Boreal(15235)

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, 12691..12735