Question

Need help finding the missing angle

Answer 1

The missing dimension is

`5`

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