Questions on Geometry: Triangles answered by real tutors!

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Question 1147241: triangle ABC is an isosceles triangle. the length of CB is 12 feet 4 inches and the congruent sides are each 3/4 this length. what is the perimeter of ABC

Click here to see answer by josgarithmetic(39613)

Question 1147441: Classify the triangle.
2,6,6
scalene
equilateral
isosceles

Click here to see answer by Alan3354(69443)

Question 1147441: Classify the triangle.
2,6,6
scalene
equilateral
isosceles

Click here to see answer by ikleyn(52750)

Question 1147732: The sides of a triangle are 14 cm, 48 cm, and 50 cm. What is the perpendicular distance from the longest side to the midpoint of the shortest side, in cm?
Click here to see answer by ikleyn(52750)

Question 1147733: The legs of a right triangle are 8 cm and 12 cm. The hypotenuse of a similar triangle is 20 cm. What is the area, in cm², of the larger triangle?
Click here to see answer by ikleyn(52750)

Question 1148072: find the value of the variables:
8x-3
4x+17
10x+30

Click here to see answer by ikleyn(52750)

Question 1148060: Given: 🔺ABC is isosceles AD _|_ BC
Prove: I need a two column proof
Click here to see answer by greenestamps(13195)

Question 1148297: is it possible for a triangle to have side lengths of 12cm, 15cm and 25cm
Click here to see answer by ikleyn(52750)

Question 1148350: The coordinates of the vertices of ∆PQR are P (0,5), Q (5,0), and R (10,5).
Determine whether ∆PQR is a right triangle. Show all work or no credit.
Using distance determine if the triangle is an isosceles triangle. Show all work or no credit.
Click here to see answer by Alan3354(69443)

Question 1148514: Determine if the given measure can be the lengths of the sides of a triangle. Write yes or no and explain
18 ft, 20 ft, 40ft
Click here to see answer by Alan3354(69443)

Question 1148772: Given the following information, solve for the missing value. (Round the FINAL answer to two decimal places.)
Given: θ = 20°
opposite = 45
Find: hypotenuse =
Click here to see answer by greenestamps(13195)

Question 1148845: The length of the longer leg of a right triangle is 19 inches more than five times the length of the shorter leg. The length of the hypotenuse is 20 inches more than five times the length of the shorter leg. Find the side lengths of the triangle.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1148885: One side of triangle is
2
2
times the shortest side. The third side is
24
24
feet more than the shortest side. The perimeter is
84
84
. Find all three sides.
Click here to see answer by ikleyn(52750)

Question 1148866: A triangle with sides of 32cm, 60cm and 68cm is cut into parts that form a quadrilateral. Find, in cm2, the area of the largest quadrilateral that can be formed.
Click here to see answer by ikleyn(52750)

Question 1149199: In the equilateral triangle illustrated below, O is the circumcentre of the triangle, and OA = 2 sqrt3 cm. Find the area of the triangle, in cm2.
Diagram: https://imgur.com/a/OIzeKyh
Click here to see answer by greenestamps(13195)

Question 1149287: Find the measure of the angles < A= (3x+80 degrees and < B= (2x+7) degrees

Click here to see answer by ikleyn(52750)

Question 1149288: The difference between two complementary angles is 43 degrees. What is the measure of the larger angle?
Click here to see answer by ikleyn(52750)

Question 1149290: The given traingles is an isosceles triangle with AB=AC. If Angle A measures 78 degrees find the measure of Angle B
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Question 1149289: Find the measure of the indicated exterior angle where angle A= (5n-17) degrees, Angle C= (n+7) degrees and angle D = (182-6n) degrees
Click here to see answer by ikleyn(52750)

Question 1149361: can you make a triangle with the sides of 12cm,7cm, and 5cm

Click here to see answer by josgarithmetic(39613)

Question 1149380: In triangle ABC, M is the midpoint of line AB. Let D be the point on line BC such that line AD bisects angle BAC, and let the perpendicular bisector of line AB intersect line AD at P. If line AB = 36 and line MP = 9, then find the distance from P to line line AC.
Click here to see answer by math_helper(2461)

Question 1149553: The coordinates of the vertices of ∆PQR are P (0,4), Q (4,0), and R (8,4)
Determine whether ∆PQR is a right triangle. Show all work.
Using distance determine if the triangle is an isosceles triangle. Show all work.
Click here to see answer by Alan3354(69443)

Question 1149583: The coordinates of the vertices of ∆PQR are P (0,4), Q (4,0), and R (8,4)
Using distance determine if the triangle is an isosceles triangle. Show all work.
Click here to see answer by josgarithmetic(39613)

Question 1149638: The edges of a triangle have lengths 3, 5, and 7. What is the length of the longest side of a similar triangle that has a perimeter of 45?
Click here to see answer by ikleyn(52750)

Question 1149637: The Boy Scouts of America have a method for measuring the distance across a stream: 1. Locate an object on the far side of the stream; a rock, for example (A). 2. Push a stick into the ground directly across the stream from the rock (B). 3. Walk along the shore at a right angle to AB. Take any number of paces, for example 50. Mark that point with a stick (C). 4. Continue walking along the shore in the same direction for the same number of paces. (In this case, 50 more.) Mark this point with a stick (D). 5. Walk away from the stream at a right angle to BD. When you can sight a straight line directly over stick C to rock A, stop and mark your spot (E).6. Measure DE to find the width of the stream. Explain how this method works.
Click here to see answer by greenestamps(13195)

Question 1149750: In right triangle ABC, leg AC is 2 cm and leg BC is 6 cm. A square is constructed on hypotenuse AB, the hypotenuse being one side of the square. What is the distance, in cm, from point C to the intersection point of the two diagonals of the square?
Click here to see answer by ikleyn(52750)

Question 1149828: The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. The perimeter of the triangle is 69 cm. What are the lengths of the sides?
Click here to see answer by ikleyn(52750)

Question 1149730: two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.
a=8 c=3 C=110 degrees
a and c are sides,
Click here to see answer by Edwin McCravy(20054)

Question 1149735: In the diagram, AC is the median of triangle ABD. Find the area of the triangle ABD.
Diagram link: https://imgur.com/GkL6y3v
Click here to see answer by Edwin McCravy(20054)

Question 1149735: In the diagram, AC is the median of triangle ABD. Find the area of the triangle ABD.
Diagram link: https://imgur.com/GkL6y3v
Click here to see answer by ikleyn(52750)

Question 1150034: If AB = 8, BC = 16, and CA = 13, list the angles of in order from smallest to largest.

Click here to see answer by Alan3354(69443)

Question 1150133: AB
∥
EC
https://homework.russianschool.com/resource?key=18167ipqjycxv is the link for the shape
Click here to see answer by ikleyn(52750)

Question 1150142: Let ABC be a triangle with centroid G. Points L, M, and N are the midpoints of sides BC, CA, and AB respectively. Let D be the foot of the altitude from A to BC and let K be the foot of the altitude from L to MN.

(a) Show that AD/LK=2
(b) Show that triangleADG is similar to triangleLKG
(c) Show that D, G and K are collinear and that DG/GK=2
Click here to see answer by ikleyn(52750)

Question 1150188: AB
∥
EC
https://homework.russianschool.com/resource?key=18167ipqjycxv my teacher has allowed me to publish this content
Click here to see answer by ikleyn(52750)

Question 1150242: A 2-ft vertical post casts a 16-in shadow at the same time a nearby cell phone tower casts a 116-ft shadow. How tall is the cell phone tower?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1150264: A triangle has two sides of length 12 and 16. What is the smallest possible whole-number length for the third side ?
Click here to see answer by Alan3354(69443)

Question 1150270: An altitude of an equilateral triangle is 18cm. Find the perimeter of the triangle in exact form
Click here to see answer by Alan3354(69443)

Question 1150316: Triangle ABC and DEF are congruent. Find x.
A = 65 degrees
C = 50 degrees
B = 65 degrees
upside down triangle
E = (x-8)^ degrees
Answer options
45
50
58
73
Click here to see answer by jim_thompson5910(35256)

Question 1150770: A triangle has angle measures A= (12x-9), B= (62-3x), and C= (16x+2). Determine the longest sides of the triangle.
Click here to see answer by ikleyn(52750)

Question 1150770: A triangle has angle measures A= (12x-9), B= (62-3x), and C= (16x+2). Determine the longest sides of the triangle.
Click here to see answer by MathLover1(20849)

Question 1150770: A triangle has angle measures A= (12x-9), B= (62-3x), and C= (16x+2). Determine the longest sides of the triangle.
Click here to see answer by Alan3354(69443)

Question 1150828: One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. What is the lengths of all three sides, to three decimal places.
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