Question

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

Answer 1

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:

${a}^{2} + {b}^{2} = {c}^{2}$

$a = side \\ b = side \\ c = diagonal$

So lets solve using the pythagorean theorem.

${a}^{2} + {b}^{2} = {c}^{2} \\ {12}^{2} + {b}^{2} = {13}^{2} \\ 144 + {b}^{2} = 169 \\ \frac{- 144 \: \: \: \: \: = - 144}{ {b}^{2} = \sqrt{25} } \\ b = 5$

Therefore, x equals 5.