Question

20 ft

h
32 ft
20 ft
Find the area of the isosceles triangle.
The area is
square feet.

Answer 1

192

Explanation:

Because this is an isosceles triangle, if we drop a perpendicular from the vertex to the 32 ft side, then we have two congruent triangles (ASA Congruence). We are found with two right triangles with a hypotenuse of 20 feet and one of the legs of 16 feet. By Pythagorean Theorem, the other leg is 12 feet, so the height of the original triangle is 12 feet.

32*12/2=192

So the answer is 192 sq. ft.

Feel free to tell me if I did anything wrong :)