Question

DOG is a right triangle formed by the placement of 3 squares, what is the area of the shaded square?

Answer 1

Answer:

289 in^2

Step-by-step explanation:

1. Find side of the small square: (DG=a)

64= a^2

a= 8

2. Find hypotenuse of triangle being formed: (OG=c and DO=b)

$a^{2}$ + $b^{2}$ = $c^{2}$

$8^{2}$ + $15^{2}$ = $c^{2}$

c= 17

3. Find area of square:

$c^{2}$= A

(17)*(17)= 289 in^2