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

A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards

x = 8

Step-by-step explanation:

x² + (√23) ² = (√87) ²

x² = (√87) ² - (√23) ²

x² = 87 - 23

x² = 64

√x² = √64

x = 8

8 yards

Step-by-step explanation:

Given:

Hypotenus: √87

length:√23

Required:

Find the length of the unknown leg

In Pythagoras theorem, the hypotenus squared is the sum of the square of two legs.

Thus:

x² + (√23) ² = (√87) ²

x² = (√87) ² - (√23) ²

x² = 87 - 23

x² = 64

Take the square root of both sides

√x² = √64

x = 8

Therefore, length of the unknown leg is 8 yards