Question

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

leg: 20 m; hypotenuse: 25 m

Answers

1. yenoanh
Given the length of the hypotenuse and of the leg of the right triangle, the length of the third side is 15m.

### What is the length of the third side of the right triangle?

To determine the length of the third side, we use Pythagoras theorem.
Pythagoras theorem is expressed as;
(Hypotenuse)² = ( First Leg)² + ( Second Leg )²
Given the data in the question;
• Hypotenuse = 25m
• First leg = 20m
• Second leg = ?
Plug in the given values into the equation above,
(Hypotenuse)² = ( First Leg)² + ( Second Leg )²
(25)² = ( 20 )² + ( Second Leg )²
( Second Leg )² = (25)² – ( 20 )²
( Second Leg )² = 625 – 400
( Second Leg )² = 225
Second Leg = √225
Second Leg = 15m

Given the length of the hypotenuse and of the leg of the right triangle, the length of the third side is 15m.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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