Question

Find the value of r.

Answer 1

r = 10.5

Explanation:

using the Pythagorean theorem:

(7 + r)² = 14² + r²

49 + 14r + r² = 196 + r²

subtract r² from both sides of the equation:

14r + 49 = 196

subtract 49 from both sides:

14r = 147

divide both sides by 14:

r = 10.5