Questions on Geometry: Triangles answered by real tutors!

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Question 1017842: In an isosceles triangle, the 3rd side is 2m less than 1 of the equal side. If the perimeter is 16m, find the length of each other.

Click here to see answer by ikleyn(52747)

Question 1018037: The perimeter of a kite is 66 cm. the length of one side is 3cm less than twice the length of another. Find the length of each side kite.
Click here to see answer by Theo(13342)

Question 1018080: Find altitude of traingle coordinates are (5,1) ,(2,4),(-1,-1).

Click here to see answer by Alan3354(69443)

Question 1018187: I was given a set of triangles (6). For the first 3 I have to find the unknown side length
1) 3,x,9
2) 18,10,x
3) 14,4,x
Then for the set where I have to find the values of the variables. And write it in radical form.
1) 8,8,x
2) 10, y, y
3) a, b, and 3 square root 2 (there is also 60 degrees in the triangle)
Click here to see answer by richard1234(7193)

Question 1018465: Given ΔABC, midpoints M and N, MN = 5x - 6 and CB = 48, find x.
Click here to see answer by ikleyn(52747)

Question 1018535: a triangle has an area of 144 sq. inches and its base is 2 ft. long. what is the altitude of the triangle

Click here to see answer by Alan3354(69443)

Question 1018630: a triangle has an area of 222 square inches. The height of the triangle is 18.5 inches. What is the length of the base of the triangle?
Click here to see answer by Alan3354(69443)

Question 1018726: an isosceles right triangle is inscribed in a circle.
Find the radius of the circle if one leg of the triangle is 8 cm.

Click here to see answer by ikleyn(52747)

Question 1019091: The perimeter of 2 similar triangles are 16 cm and 24 cm, respectively. If the area of the larger triangle is 16 cm�, what is the area of the similar trianlge?
Click here to see answer by fractalier(6550)

Question 1019323: will someone please help me with the last problem i posted i don't understand it and can't move on to the next problem with out answering it
Click here to see answer by fractalier(6550)

Question 1019384: how do you determine whether triangles are congruent? is there a specific formula?
Click here to see answer by Boreal(15235)

Question 1019409: If I have a right triangle with known side lengths, how do I find the other two angles?
The side lengths are 27,18, and 32. the only known angle is 90.
Click here to see answer by Theo(13342)

Question 1019423: will someone please help me with this problem i can't move on with out answering this one, if triangles EFG and LMN are right triangles and that triangles EFG and LMN are similar what is the measure of F I know that angles E and L go together and are the bottom left angles, and then angles F and N go together and are the bottom right angles, and angles G and M go together and are the top angles it says to let G=8 1/10, let n=2 1/2 and to let M=16 1/5 what is the measure of F
Click here to see answer by Alan3354(69443)

Question 1019469: if triangle ABC and triangle XYZ are similar to to each other what is the measure of A let c=12, z=18, x=27 what is the measure of A
Click here to see answer by Cromlix(4381)

Question 1019465: if f/n=g/m what is the measure of F i know that g=8 1/10 n=2 1/2 m=16 1/4 simplify your answer i cross multiplied and divided but it came out wrong
Click here to see answer by fractalier(6550)

Question 1019473: if triangles TOP and triangle ACE are similar what is the measure of E let p=3.5,t=4.25, a=2.125 what is the measure of E
Click here to see answer by Alan3354(69443)

Question 1019505: Find the possible sides of a triangle whose perimeter is 21cm?
Click here to see answer by josgarithmetic(39613)

Question 1019262: if triangles EFG and LNM are right triangles and they are also similar what is the measure of F, I know that angles E and L go together and angles F and N go together and that angles G and M go together it then says to let G=8 1/10 N=2 1/2 and M=16 1/5 what is the measure of angle F
Click here to see answer by Theo(13342)

Question 1019548: I was told to form an equation in x and find out the x in this question:
Click here to see answer by josgarithmetic(39613)

Question 1019548: I was told to form an equation in x and find out the x in this question:
Click here to see answer by stanbon(75887)

Question 1019540: if triangle TKM and triangle DAJ are similar what is the measure of angle M, the drawing shows that in triangle TKM that T is the bottom left angle, angle M is the bottom right angle, and that angle K is the top angle and has a measure of 30 degrees, in triangle DAJ, D is the bottom left angle, A is the bottom right angle and has a measure of 30 degrees, and that angle J is the top angle what is the measure of M
Click here to see answer by josgarithmetic(39613)

Question 1019735: A garden in the form a square is surrounded by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides.If the area of the path is 17m^2,calculate the perimeter of the garden and the area of the space covered by the garden

Click here to see answer by ikleyn(52747)

Question 1019734: A garden in the form a square is surrounded by a path by a path which is 1m wide on two opposite sides and 1/2m wide on the other two opposite sides.If the area of the path is 17m^2,calculate the perimeter of the garden and the area of the space covered by the garden

Click here to see answer by ikleyn(52747)

Question 1019802: In an isosceles triangle, the lenght of one of the equal sides is 2.5 times the lenght of the third side. The perimeter is 10.8. Find the lenght of each side.
Click here to see answer by josgarithmetic(39613)

Question 1019832: What is the largest equilateral triangle that could be fitted into a circle with a diameter of 9 inches (23cm?) I need to cut a circular cake into a triangular cake!!
Thanks in advance!
Click here to see answer by Alan3354(69443)

Question 1019828: One side of a triangular lot is 10m less than twice the length of the second side. The third side is 9m shorter than the first. The perimeter of the lot is 61m. How long is the shortest side?
Click here to see answer by Cromlix(4381)

Question 1020175: Why we cannot construct triangle with conditions such as PQ is 4cm and angle pqr is 70 degrees and angle of qrp is 105 degree
Click here to see answer by ikleyn(52747)

Question 1020222: A luminaire is mounted 2.8m above the floor and it is required to calculate the illuminance due to the luminaire at a point on the floor that is 1.5m from the point directly beneath the luminaire.
What is the hypotenuse of the triangle formed by the luminaire and the two points on the floor?
and what are the two angles formed by the above triangle that are not right angles?
Click here to see answer by Cromlix(4381)

Question 1020439: Im really stuck!
ABC is an isosceles triangle. The coordinates of A and B are (5,6) and (0,-4) respectively. Given that the gradient of BC is 3/4 and D is the midpoint of BC find:
Equation of AD
and
Coordinate of D,
how do i find equation of AD only with 2 points?
Click here to see answer by Theo(13342)

Question 1020470: triangle ABC is a right angle. if side AC = 5 and side BC = 6, what is the measure of side AB?
Click here to see answer by ikleyn(52747)

Question 1020696: givem the following measurements, a=42, a=44 cm, and c=58 cm how many solutions are possible.
Click here to see answer by Fombitz(32388)

Question 1020696: givem the following measurements, a=42, a=44 cm, and c=58 cm how many solutions are possible.
Click here to see answer by MathTherapy(10549)

Question 1020695: givem the following measurements, a=42, a=44 cm, and c=58 cm how many solutions are possible'
Click here to see answer by Fombitz(32388)

Question 1020726: An isosceles triangle is a triangle with two sides having the same measurement and one side having a different measurement. The shortest side of an isosceles triangle is 27 cm less than twice as long as the other sides. The perimeter of the triangle is 73 cm. Find the lengths of the three sides and list them in ascending order
Click here to see answer by josgarithmetic(39613)

Question 1020971: An isosceles triangle has an angle that measures 110�. Which other angles could be in that isosceles triangle? Choose all that apply.
Choices are:
59�
35�
79�
110�

Click here to see answer by MathLover1(20849)

Question 1021151: You have a ladder which is 2 meters tall.Its leaned against a building so
that it forms a 60 degree angle with the ground.How far from the building is
the base of the ladder?
Click here to see answer by Cromlix(4381)

Question 1021149: You have a ladder which is 2 meters tall.Its leaned against a building
do that it forms a 60 degree angle with the ground.How far ftom the building is
the base of the ladder?
Click here to see answer by Cromlix(4381)

Question 1020701: Find x FG=x+5, GH=3x-2, FH=2x-2
Click here to see answer by Fombitz(32388)

Question 1021191: Two angle measures of a triangle are given. Draw the triangle in your notes. What is the measure of the third angle? (Put only a number in the blank, without degrees - For example, 22)

40�, 70� �

60�, 75� �

90�, 30� �

100�, 40� �
Click here to see answer by Fombitz(32388)

Question 1021423: Найдите стороны равнобедренного треугольника , если одна с них меньше от периметра на 30 сантиметров , а вторая - на 40 сантиметров.
Click here to see answer by MathLover1(20849)

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