Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?

Respuesta :

The length of the other leg of the right triangle is; 89.44 centimetres

Right triangles and the Pythagoras theorem

According to the question;

  • We are required to determine the length, in centimetres of the other leg of the right triangle.

By the Pythagoras theorem;

  • Hyp² = Opp² + Adj²

Hence, It follows that;

  • 120² = 80² + X²

  • x² = 14400-6400

  • x² = 80,000

Find the square root of both sides of the equation;

  • x = √80,000

x = 89.44 centimeters

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