Question

Find the value of x in the triangle shown below.
13
12
X

Answer 1

The value of x in the triangle shown below is 5.

Explanation:

We can use the pythagorean theorem to solve this, incase you forgot, this is the pythagorean theorem:

`{a}^(2) + {b}^(2) = {c}^(2)`

`a = side \\ b = side \\ c = diagonal`

So lets solve using the pythagorean theorem.

`{a}^(2) + {b}^(2) = {c}^(2) \\ {12}^(2) + {b}^(2) = {13}^(2) \\ 144 + {b}^(2) = 169 \\ \frac{- 144 \: \: \: \: \: = - 144}{ {b}^(2) = √(25) } \\ b = 5`

Therefore, x equals 5.