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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

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nuhulawal20

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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