Question

What is the

measure of RK to the
nearest tenth if RQ is
7 in., QL is 24 in., and
LK is 3 in.?
R
Work:

Answer 1

25.2 in.

Explanation:

Given:

RQ = 7 in.

QL = 24 in.

LK = 3 in.

Required:

Length of diagonal RK

Solution:

Apply the extension of the Pythagorean theorem which is:

d² = x² + y² + z²

Where,

d = RK

x = RQ = 7 in.

y = QL = 24 in.

z = LK = 3 in.

Plug in the values

d² = 7² + 24² + 3²

d² = 634

d = √634

d = 25.1793566 ≈ 25.2 in. (nearest tenth)