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Answer:

The side opposite the right angle is the hypotenuse. The Pythagorean theorem is used to solve for the length of the hypotenuse. If a right triangle has legs measuring a and b with hypotenuse c, the Pythagorean theorem is a² + b² = c². Solving for c is as simple as taking the square root of both sides of the equation.

Lanuel

By applying Pythagorean's theorem, the length of the third side of the right triangle is equal to 27.04 cm.

What is Pythagorean theorem?

Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

Mathematically, Pythagorean's theorem is given by this formula:

c² = a² + b²

Where:

  • c is the hypotenuse.
  • a is the adjacent side.
  • b is the opposite side.

Substituting the given parameters into the formula, we have;

30² = a² + 13²

900 = a² + 169

a² = 900 - 169

a² = 731

a = √731

a = 27.04 cm.

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

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