Question

32. Find the value of x.

10 in.
F √2 in.
G
10√/2 in.
10h0
X 45° 10 in.
H 10 in.
J 2√/10 in.

Answer 1

G 10√2 in.

Explanation:

The ratio of the lengths of the sides of a 45-45-90 triangle is

1 : 1 : √2

In this triangle, the sides measure

10 : 10 : x

Use a proportion using the ratios above.

1/10 = √2 / x

x × 1 = 10 × √2

x = 10√2