Need help finding the missing angle

Question

asked Nov 7, 2023 52.9k views

1 Answer

Bob Gilmore · Answer 1 · 2023-11-14T02:38:22+0000

Answer:

The missing dimension is

Explanation:

The Pythagorean Theorem states that

${a}^(2) + {b}^(2) = {c}^(2) \\$

Note that c is the hypothenus (the hypothenus is always opposite to the right angle of a triangle)

Therefore

${a}^(2) + {b}^(2) = {c}^(2) \\ {12}^(2) + {b}^(2) = {13}^(2) \\ 144 + {b}^(2) = 169 \\ {b}^(2) = 169 - 144 \\ {b}^(2) = 25$

$\sqrt{ {b}^(2) } = √(25) \\ b = 5$

Therefore the missing dimension is 5