Answer:
19.7
Explanation:
We need to find the hypotenuse of the blue triangle, as stated in the hint. We know the sides of the base measure 8 x 15 respectively so let's use Pythagorean Theorem;
8^2 + 15^2 = (hyp.)^2,
hyp = √8^2 + 15^2 = √64 + 225 = √289 = 17
Now the height of the yellow triangle is 10 inches. The hypotenuse of the blue triangle is now the base of the yellow triangle. The dimensions are 10 x 17 respectively so we can determine it's hypotenuse;
hyp (yellow triangle) = √17^2 + 10^2
= √289 + 100
= √389 ≈ 19.7 in.