In the figure shown below, the small isosceles right triangles are congruent. The area of the square is 324 square iches. What is the total area, in square inchesm of the 2 small triangles?

90

160

180

324

648

Question

In the figure shown below, the small isosceles right triangles are congruent. The area of the square is 324 square iches. What is the total area, in square inchesm of the 2 small triangles?

90

160

180

324

648

anonymous · Answer

attachment

barrycarter · Answer

Hint: imagine flipping the right-side triangle over the right side of the square.

anonymous · Answer

hmmmm.

anonymous · Answer

it'd be 90?

barrycarter · Answer

How much of the square would that triangle cover?

anonymous · Answer

1/2

barrycarter · Answer

Right! So what would be the area of that triangle?

anonymous · Answer

90

barrycarter · Answer

Umm, if the area of the square is 324, and the triangle is half that area, it would be.. ?

phi · Answer

I would figure what is the length of 1 side of the square.
that would be the base  and height (both legs of isosceles are =)
area of each triangle is (1/2) base* height
for 2 congruent triangles, that adds up to base*height= s*s
where s is the side of the square

but s*s is the area of the square!