Question

Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

Answer 1

B = 24

Explanation:

Using`color(blue)" Pythagoras' theorem " " in this triangle "`

C is the hypotenuse hence : `C^2 = A^2 + B^2`

`rArr 26^2 = 10^2 + B^2`

`rArr B^2 = 26^2 - 10^2 = 676 - 100 = 576`

now `B^2 = 576 rArr B = sqrt576 = 24`