Question

Need help finding the missing angle

Answer 1

Answer:

The missing dimension is

$5$

Step-by-step 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

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

$\sqrt{ {b}^{2} } = \sqrt{25} \\ b = 5$

Therefore the missing dimension is 5