Question

What is the length of the unknown leg in the right triangle?

Answer 1

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = $\sqrt{87}$

Length = $\sqrt{23}$

x² + ($\sqrt{23}$)² = ($\sqrt{87}$)²

x² = ($\sqrt{87}$)² - ($\sqrt{23}$)²

x² = 87 - 23

x² = 64

$\sqrt{x}$² = $\sqrt{64}$

x = 8 yd

Answer 2

Answer:

8

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

$hyp^{2} = adj^{2}+opp^{2}$

Given hypotenuse = $\sqrt{87}$ and another side = $\sqrt{23}$, the third side can be gotten according to the formula above. On substituting;

$(\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8$

The length of the unknown leg in the right triangle is 8