Math

An isosceles triangle has an area of 24 cm squared, and the angle between the two equal sides is 5 pi/6. What is the length of the two equal sides? I can't figure out how to set up this problem please help! Thank you!

1. 👍 0
2. 👎 0
3. 👁 150
1. draw altitude from angle between equal sides to base (hits at pi/2 because sides equal)
angle there is half angle = 5 pi/12 which is 75 deg
call altitude h , base of whole triangle is b so our right triangle has base b/2
then
h tan 75 = b/2
A = 24 = hb/2 = 24 = h^2 tan 75
h^2 = 24/tan 75
h = 2.5359
then
L = h/cos 75
L = 9.798

1. 👍 0
2. 👎 0
posted by Damon

Similar Questions

1. urgent maths help needed now

jafar has an isosceles triangle with an area of 20.25cm squared, what is the length of the side facing the right angle?

asked by joi on October 20, 2011

Which of the statements is ALWAYS TRUE? A-A right triangle is a scalene triangle. B-An equilateral triangle is an isosceles triangle. C-An isosceles triangle is an obtuse triangle. D-A right triangle is an acute triangle. I got

asked by Catherine on March 8, 2011
3. math

an isosceles triangle has a vertex at the origin. Determine the area of the largest such triangle that is bound by the function x squared + 6y = 48 and explain why this is infact the maximum area.

asked by Tomas on March 13, 2011
4. Geometry

Can anybody help me with this word problem? A homeowner, who loves math, decides to make a garden/patio area in the following way. She decides to make the gardening area, where she will plant roses bushes in the shape of an

asked by Jonas on October 8, 2014
5. Don't understand this Geometry question

Isosceles triangle XYZ is placed on a coordinate plane to be used for a coordinate proof. What should the coordinates of its vertices be? a. (-a,0), (0,0), (a,0) b. (0,0), (0,-a), (-a,0) c. (0,0), (0,a), (a,0) d. (0,0), (0,-a),

asked by Ellie on August 28, 2006
6. Math geometry

1) The base angles of an isosceles triangle are (50-x)^6 and (30x-12)^6 what is the vertex angle? 2) The area of a trapezoid is 52cm^2 if it's bases are 8 cm apart find the sum of their heights 3) What is the area of a circle

asked by K on February 27, 2017
7. Math

Triangle A has an area of 19,00cm squared and similar triangle B has an area of 118.75cm squared. Determine what scale factor makes triangle B an enlargement of triangle A

asked by Kim on February 28, 2013
8. Calculus

An isosceles triangle is to be drawn with its two equal sides of legth 10. What is the maximum possible area for the triangle? [Note: The area of a triangle is given by half the product of two sides with the sine of the included

asked by MEG on November 15, 2010
9. math

How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not

asked by samantha on August 29, 2008
10. Math

Can someone please check to see if I answered these true and false statements correctly? Thank you! 1. A triangle can have two right angles. (TRUE??) 2. An equilateral triangle is also an acute. (TRUE??) 3. A right triangle can

asked by Anonymous on November 9, 2014

More Similar Questions