Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 1103282: Image URL: https://i.imgur.com/ITmZ5p5.png
Find x and y.

Click here to see answer by richwmiller(17219)

Question 1103282: Image URL: https://i.imgur.com/ITmZ5p5.png
Find x and y.

Click here to see answer by rothauserc(4718)

Question 1103304: Given: Right triangles CES and RST.
Triangles: https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geou04l04_03.gif
explain what additional information is needed to prove triangle CES congruent to triangle RST.
Click here to see answer by greenestamps(13334)

Question 1103566: Find the value of a that satisfies the congruency of the triangles. Explain the relevance between the congruency of the triangles and the calculations made in finding the value of a.
Triangles: https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geou04l04_01.gif
Click here to see answer by josgarithmetic(39799)

Question 1103567: Given: Right triangles CES and RST.
Triangles: https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geou04l04_03.gif
Explain what additional information is needed to prove triangle CES congruent to triangle RST.

Click here to see answer by josgarithmetic(39799)

Question 1103564: Given points K'(1, -2) and L'(1, -4), what are the coordinates of the point J' that produces a triangle J'K'L' congruent to JKL resulting from a rotation of 90 degrees clockwise around the point (1, -6)?
Graph : https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/geo_4_3a_graph5-should-look-like.gif
Click here to see answer by greenestamps(13334)

Question 1103627: Use the diagram in order to determine the height of the tree. Take in mind that the diagram is not to scale.
Diagram Link: http://prntscr.com/hj1fhm
a) 60
b) 30
c) 28
d) 120
Please help me, since I don't understand how to do this.
Thank You!
Click here to see answer by josgarithmetic(39799)

Question 1103840: If GHJ is an equilateral Triangle, GH = 5x-13, HJ =11x-61 &
GJ=7x-29 find x and the measure of each side.
Click here to see answer by Alan3354(69443)

Question 1104158: One half the difference between the number of degrees in a rectangle and the number of degrees in a triangle is how much?
Click here to see answer by josgarithmetic(39799)

Question 1104194: Solve x and y.
Image URL: https://i.imgur.com/DJVwqVx.jpg
Click here to see answer by josgarithmetic(39799)

Question 1104469: Hi!
1. What is the name of the segment inside the large triangle? (1 point)
Image URL: http://prntscr.com/hma5zy

a) perpendicular bisector
b) altitude
c) median
d) angle bisector
My Answer: B
Could someone please check my answer?
Thanks!
Click here to see answer by KMST(5347)

Question 1104478: Hi!
7. ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter, including any necessary points or slopes you had to derive.
Could someone really help me on this?
The graph is not needed since I can sketch it myself. I just need help with the steps that need to be taken in order to find the orthocenter.
Thank You So Much!
Click here to see answer by stanbon(75887)

Question 1104471: Hi!
7. If AB < AC < CB in ΔABC, then which of the following is true? (1 point)

a) m∠A < m∠B < m∠C
b) m∠C < m∠A < m∠B
c) m∠C < m∠B < m∠A
d) m∠A < m∠C < m∠B
Could someone help me on this, please?
Thanks!
Click here to see answer by josgarithmetic(39799)

Question 1104579: If the difference between the measures of the two smaller angles of a right triangle is 20�, what is the measure, in degrees, of the smallest angle?
Click here to see answer by Alan3354(69443)

Question 1104582: If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the perimeter of the triangle is 30+10√3, what is the length of the smallest side?
Click here to see answer by stanbon(75887)

Question 1104639: In triangle ABC, BC is the greatest side then, prove that Angle A is greater than 2/3 of the right angle.
Click here to see answer by greenestamps(13334)

Question 1104820: A triangle has one angle that measures 32 degrees, one angle that measures 109 degrees, and one angle that measures 39 degrees.
What kind of triangle is it?
Click here to see answer by Alan3354(69443)

Question 1105108: The base angles of an isosceles triangle each measure 30 degrees. What is the measure of the vertex angle?
Click here to see answer by Alan3354(69443)

Question 1105107: Image URL: https://i.imgur.com/0FMcluy.png
What is the measure of Angle 1 and 2?
Click here to see answer by Boreal(15235)

Question 1105131: In ΔABC, AC = BC, CD ⊥ AB with D ∈ AB , AB = 4 in, and CD = √3 in. Find AC.
Click here to see answer by Theo(13342)

Question 1105226: Identify the trigonometric ratios for the angle theta.
https://imgur.com/ZPsAgGE
Put your answers in the following order:
1. sin θ =
2. cos θ =
3. tan θ =
4. csc θ =
5. sec θ =
6. cot θ =

Got stuck on this question on a quiz, any help would be great!
Click here to see answer by Boreal(15235)

Question 1105283: GIVEN: angle G is a right angle. angle k is a right angle. HJ= 1/2 (MD). Prove that triangle GHJ is similar to triangle KMO.

Click here to see answer by ikleyn(53763)

Question 1105283: GIVEN: angle G is a right angle. angle k is a right angle. HJ= 1/2 (MD). Prove that triangle GHJ is similar to triangle KMO.

Click here to see answer by greenestamps(13334)

Question 1104581: Dennis and Derrick each drew a triangle. Both triangles hand sides of length 10 and 20, and the length of the third of each triangle is an integer. What is the greatest possible difference between the perimeters of the two triangles?
Click here to see answer by greenestamps(13334)

Question 1105301: An exterior angle of a triangle measures 120 degree and its interior opposite angle are in ratio 7:5. Find the angle of the triangle
Click here to see answer by josgarithmetic(39799)

Question 1105313: Image of equation: https://i.imgur.com/rLqrEcd.png
What is the measure of Angle 1 & 2?
Click here to see answer by stanbon(75887)

Question 1105319: Image - https://i.imgur.com/D2AULFL.png
What is the measure of angle 2 & 1.

Click here to see answer by josgarithmetic(39799)

Question 1105372: Let , and be the sides of a triangle. If , find the type of triangle it is.
Click here to see answer by ikleyn(53763)

Question 1105434: the hypotenuse of a right triangle is m more than twice the shortest side . If the third side is meter less than the hypotenuse , find the sides of triangle.

Click here to see answer by josgarithmetic(39799)

Question 1105593: One angle of a right angled triangle is 70 find the other angle
Click here to see answer by Alan3354(69443)

Question 1105541: in the accompanying diagram of ΔABC, AB is extended to E and D,
exterior angle CBD measures 130�, and m∠C = 75� Find m∠CAE.
Click here to see answer by Edwin McCravy(20081)

Question 1105790: ABC is a triangle which sidelength are2.5cm,2.5 cm and3cm and another triangleDEF sidelength are 2.5cm,2.5cm and 4cm,these area are same why

Click here to see answer by Alan3354(69443)

Question 1105844:
Click here to see answer by Alan3354(69443)

Question 1105846: In triangle ABC ,PQ is parallel to AC and PQ divides triangular region ABC into two parts such that ar(BPQ)=1/4 at(PQCA). Find BP:PA.

Click here to see answer by greenestamps(13334)

Question 1105922: Two triangles are similar.The length of a side of one of the triangles is 2 times that of corresponding sides of the other the area of the smaller triangle is 25cm�.find the area of the larger triangle.
Click here to see answer by KMST(5347)

Question 1106040: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground?
Click here to see answer by Alan3354(69443)

Question 1106076: 1. What is the shortest segment in triangle PQS?
2. What is the longest segment in triangle QRS?
Here are the pictures of the segments.
http://image.ibb.co/mNi5bm/5_5a.png
Appreciate any help.
Click here to see answer by Boreal(15235)

Question 1106049: The largest angle in a triangle is 6 more than 5 times the smallest angle. The difference of 2 times the largest angle and 4 times the smallest angle is 92�. Determine the smallest angle.
Click here to see answer by addingup(3677)

Question 1105970: Triangle ABC is isosceles with AB = AC. Let D be the foot of the altitude from A on BC, and let E be the point on side AC such that DE bisects
Click here to see answer by math_helper(2461)

Question 1106077: 1. Find the angle with the smallest measure in triangle VUW.
2. Find the angle with the largest measure in UWX.
Here's the picture of the angles for the question I'm trying to solve for:
http://image.ibb.co/cmkkbm/5_5b.png
Any help is appreciated.
Click here to see answer by KMST(5347)

Question 1106145: In the following series what should come in place of question mark?
1 n �, 2NO, f OM, ?, h82
Click here to see answer by ikleyn(53763)

Question 1106259: Find the range for the measure of the third side of a triangle given the measures of two sides.
13 and 27.
Thank-you.
Click here to see answer by Alan3354(69443)

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