Questions on Geometry: Triangles answered by real tutors!

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Question 1063103: Consider the following triangles, △ABC and △DFE.
https://cds.flipswitch.com/tools/asset/media/575413
If BC=2.24, AC=1, m∠C=116°, EF=6.72, ED=3, DF=8.49, and m∠E=116°, what is the measure of AB¯?
AB= __________ units

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Question 1063093: Use △ABC, in which m∠A=46°, m∠B=41°, and AC=6, to answer the question.
https://cds.flipswitch.com/tools/asset/media/576484
What is the length of BC¯?
BC = __________ units.

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Question 1062969: Pythagorean triples are given by the formulas x^2 - y^2, 2xy, and x^2 + y^2.
Use the formulas for the Pythagorean triples to prove why it is not possible for a right triangle to have legs with lengths of 16 and an odd number. Show all of your work for full credit.

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Question 1063098: Consider the following figure.
https://cds.flipswitch.com/tools/asset/media/575447
Assume that E is the midpoint of AD¯ and that B is the midpoint of AC¯. If AE=4 mi, DE=4 mi, and BE=6 mi, what is the length of CD¯?
CD= __________ mi

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Question 1062983: Avra is building a triangular dog run in her back yard. She makes a model of the dog run by drawing △ABC, where AB=20 feet, AC=40 feet, and m∠A=46.6°.
https://cds.flipswitch.com/tools/asset/media/576480
Inside the dog run, Avra wants to install sod that costs $0.79 per square foot. How much money should she expect to spend on sod when she goes to the hardware store?
Avra should expect to spend $__________.

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Question 1062631: an isoscles triangle has 2 sides that are 10cm long. the angle between the 2 sides is x. a line segment bisects one of the equal angles and ends at the opposite side. find an expression for the length of this segment in terms of x.
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Question 1063357: in triangle JKL, J is a right angle. point M is on Lk such that JM is perpendicular to LK. If LM = 6 and LK = 15, find JL. (simplify radicals.)
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Question 1063371: An isosceles triangle has two sides that are 10cm long. The angle between the trey sides is x. A line segment bisects one of theresa angles and ends at the opposite side.find an expression for the length of this segment in terms of x. Please show how you got the answer

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Question 1063371: An isosceles triangle has two sides that are 10cm long. The angle between the trey sides is x. A line segment bisects one of theresa angles and ends at the opposite side.find an expression for the length of this segment in terms of x. Please show how you got the answer

Click here to see answer by ikleyn(52781) About Me 
Question 1063371: An isosceles triangle has two sides that are 10cm long. The angle between the trey sides is x. A line segment bisects one of theresa angles and ends at the opposite side.find an expression for the length of this segment in terms of x. Please show how you got the answer

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Question 1063405: The vertical angle of an isosceles triangle is three times the sum of its base angles. Find each angle.
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Question 1063460: The vertices of triangle rst are (6,-1) s(1,-4) t(-5,6). Prove that rst is a right triangle. State the coordinates of point p such that rstp is a rectangle.
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Question 1063469: Which coordinate divided the direct line segment from -10 at J to 23 at K in the ratio of 2 to 1
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Question 1063473: Points A and K the length of the line segment AK is 640 meters. Angle ABC, angle CDF, and Angle FJK are similar, and 2AC=CF=2FK. The first pillar, BG is 20 meters tall.the area of angle CDF is how many square meters?

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Question 1063479: Given that
a
= 5.2 cm and
b
= 9.3 cm, work out the perimeter of the triangle.
so can you Give your answer rounded to 1 DP

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Question 1063539: List the sides in order from shortest to longest in triangle ABC, with
angle A=80 , angle B=3x+5 and angle C=5x-1

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Question 1063530: in triangle abc side ab is 2 cm shorter than side ac, while side bc is 1cm longer than ac. if the perimeter is 210 cm. how long are sides? show linear equation and solution

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Question 1063591: Triangles JKL and RST are similar. The length of the sides of JKL are 170, 230, and 205. The perimeter of RST is 726, what is the length of the longest side of RST?

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Question 1063717: What are the lengths of the sides of a triangle with vertices at (−3,4), (1,7), and (13,2)?
List your answers in order from least to greates

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Question 1063799: http://prnt.sc/duaa19
may someone walk me through this please?
Thank you

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Question 1063854: The figure shows △XYZ. MZ¯ is the angle bisector of ∠YZX.
What is XM?
Enter your answer as a decimal in the box.
https://static.k12.com/nextgen_media/assets/8093640-NG_GMT_J_05_U08_Quiz_11.png

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Question 1063854: The figure shows △XYZ. MZ¯ is the angle bisector of ∠YZX.
What is XM?
Enter your answer as a decimal in the box.
https://static.k12.com/nextgen_media/assets/8093640-NG_GMT_J_05_U08_Quiz_11.png

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Question 1064039: Find the area of an equilateral triangle inscribed in a circle with an area of 36(pi) square units. Write an answer as a radical in simplest form. Please and thanks in advance
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Question 1064176: So I am struggling with some geometry and it is about midsegments. The triangle is named TUV. UV=80,TV=100,and HD=80. The question asks what is TU. The book said the answer is 160. Can some one please explain how?

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Question 1064176: So I am struggling with some geometry and it is about midsegments. The triangle is named TUV. UV=80,TV=100,and HD=80. The question asks what is TU. The book said the answer is 160. Can some one please explain how?

Click here to see answer by ikleyn(52781) About Me 

Question 1064313: Given: ΔTSP, TS = SP = 10cm, TP = 12cm. Find: Three altitudes of ΔTSP.
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Question 1064457: In Δ​XYZ, measure of angle∠Y equals=78​, XY equals=99​, and XZ equals=13. To the nearest​ tenth, what is measure of angle∠​Z? This is apart of the law sines. Thanks.
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Question 1064465: Δ​XYZ, measure of angle∠Y equals=75​, XY equals=10​, and XZ equals=11. What is measure of angle∠​Z?. This has to do with the law of sines. Thanks.
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Question 1064464: Δ​XYZ, measure of angle∠Y equals=78​, XY equals=9​, and XZ equals=13. What is measure of angle∠​Z?
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Question 1064439: In a triangle ABC,with angels A,B and C and sides AB,BC,AC, angle B is a right (90)angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?
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Question 1063959: Help please,
1) http://prnt.sc/duq1gm
2) http://prnt.sc/duq1l1
Thank you

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Question 1064592: Can someone direct me please. Am I doing this correctly.
Draw a right triangle with the base of 2 units and a height of 3 units make three copies so that the length of the new sides are 50% , 300%, and 500% of the original.
My idea is
First triangle 2× 50 and 3× 50
Second triangle 2 × 300 and 3 ×300
Third triangle 2 × 500 and 3× 500

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Question 1064603: I want to confirm if I understood .
Problem states : Draw a right triangle with a base of 2 units and a height of 3 units. Make three “copies” so that the lengths of
the new sides are 50%, 300%, and 500% of the original.
Solution:
1st triangle
Base2×0.5= 1 new base will be 2+1=3
Height 3×0.5=1.5 new height 3+1.5=4.5
So new triangle base 3units and height 4.5 units
Second triangle:
2×3=6 so, 6+2=8
3×3=9 so, 3+9=12
New triangle base 8 height 12

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Question 1064608: If triangle ABC is congruent to triangle DEF and angle C=3x-40 and angle F=2x-10 what is the value of angle c?
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Question 1064678: In triangle 2, the diagonal is given as 30, find the height of triangle 2
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Question 1064539: Triangle ABC has a perimeter of 30 inches
BC = 2 times the length of side AB
CA = Half of the perimeter of triangle
What is AB?

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Question 1064724: I need help I'm not sure if I'm doing this right .
The shape is a trapezoid.
To see the image of shape it has the coordinates since I can upload the image but if you place it on graph paper.
(0,0), (0,6), (-3,6), (-9,0), (0,0)
I have to draw a smaller copy of it with sides 2/3 the length of the original.
So, I know 2/3 is 0.66
So do I subtract the sides from it can I get help at least one side

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Question 1064726: If the ratio of triangle BCD to triangle EFG is 3:5 and the length of NC is 6" what is the length of EF?
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Question 1064751: If the height of an equilateral triangle is also a root of equation y^4-3y^2-270 then the area of the triangle in cm^2 is
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Question 1064751: If the height of an equilateral triangle is also a root of equation y^4-3y^2-270 then the area of the triangle in cm^2 is
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Question 1064874: Ab = 3x + 41, BC = 8x - 54, and AC = 12x - 103, find x and the measure of each side.
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Question 1064903: One leg of a right triangle is 4 less than the other leg. The square of the hypotenuse of the right triangle is 80. How long are the legs of the right triangle. I tried very very hard for 1 hour but got nowhere
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Question 1064701: Triangle ABC is reflected about the line Y = - X to give triangle A ' B ' C ' witch vertices A ' (-1,1) B ' (-2,-1) C (-1,0) . What are the vertices of triangle ABC
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Question 1064972: ABC is reflected about the line Y = - x to give A ' B ' C with vertices , A ' (-1,1) , B ' (-2,-1) , C (-1,0) . What are the vertices of ABC' ?
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Question 1065052: The base of an isosceles triangle is 20 cm and the perimeter is 70 cm. Find the length of each side
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