Question

How to solve for X in the triangle

Answer 1

22.6

Explanation:

a^2+b^2=c^2

8^2+b^2=24^2

b^2=512

b=22.6

Answer 2

`x = 16√(2)`

Explanation:

we are given a right triangle.

then

In order to determine x we need to use

the Pythagorean theorem:

`x^(2)+8^(2)=24^(2)`

⇔ x² + 64 = 576

⇔ x² = 576 - 64

⇔ x² = 512

⇔ x² = 2⁹

⇔ x² = 2 × 2⁸

`\Longleftrightarrow x=\sqrt{2* 2^(8)} =\sqrt{2* \left( 2^(4)\right)^(2) }`

`\Longleftrightarrow x= \sqrt{\left( 16\right)^(2) } * \sqrt{2`

`\Longleftrightarrow x = 16√(2)`