Use the Pythagorean theorem to find the missing side of the...

Use the Pythagorean theorem to find the missing side of the right triangle with legs a and $b$ and hypotenuse $c .$ Then calculate the perimeter. Approximate values to the nearest tenth when appropriate.
$a=60$ feet, $b=11$ feet

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Key Concepts

Pythagorean Theorem

The Pythagorean Theorem is a fundamental principle in Euclidean geometry that relates the side lengths of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is widely used to determine the missing side length when two sides of a right triangle are known.

Right Triangle Properties

A right triangle is distinguished by having one 90-degree angle. The two sides that form this right angle are known as the legs, while the side opposite the right angle is the hypotenuse. Knowledge of these properties is essential for applying the Pythagorean Theorem and for solving various geometrical problems involving triangles.

Perimeter Calculation

The perimeter of a triangle is the total length around the triangle, calculated by summing the lengths of all three sides. Once all side lengths are determined, either directly or through calculations like those using the Pythagorean Theorem, the perimeter is found by adding these values together. Approximations may be used when exact values are irrational.

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