SOLUTION: The sides of an isosceles triangle are 30 , 30 , and 10yd long. What is the area of the triangle? Do not round any intermediate computations, and round your answer to th

Algebra ->  Triangles -> SOLUTION: The sides of an isosceles triangle are 30 , 30 , and 10yd long. What is the area of the triangle? Do not round any intermediate computations, and round your answer to th      Log On


   

Question 980584: The sides of an isosceles triangle are
30
,
30
, and
10yd
long. What is the area of the triangle?
Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The height of the triangle is one leg of a right triangle with the 30 side as hypotenuse and 1/2 the 10 side as the other leg:
A=short leg=5; B=height; C=hypotenuse=30
A%5E2%2BB%5E2=C%5E2
.
B%5E2=C%5E2-A%5E2
.
B=sqrt%28C%5E2-A%5E2%29
B=sqrt%2830%5E2-5%5E2%29
B=sqrt%28875%29
B=5sqrt%2835%29
.
Area=1/2 x base x height
Area=%281%2F2%29x10x5sqrt%2835%29
Area=25sqrt%2835%29
Area =147.9 square units