Answer:
The value of x in the triangle shown below is 5.
Step-by-step explanation:
We can use the pythagorean theorem to solve this, incase you forgot, this is the pythagorean theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex]a = side \\ b = side \\ c = diagonal[/tex]
So lets solve using the pythagorean theorem.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {12}^{2} + {b}^{2} = {13}^{2} \\ 144 + {b}^{2} = 169 \\ \frac{- 144 \: \: \: \: \: = - 144}{ {b}^{2} = \sqrt{25} } \\ b = 5[/tex]
Therefore, x equals 5.
