Question

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The area of a right triangle is 180 m². The height of the right triangle is 40 m. What is the length of the hypotenuse of the right triangle?

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m

Answer 1

Answer: Area of a triangle = · base x height

180 = · base x 40

180 = 20 · base

9 = base

Pythagorean Theorem:

base² + height² = hypotenuse²

9² + 40² = hypotenuse²

81 + 1600 = hypotenuse²

1681 = hypotenuse²

√1681 = √hypotenuse²

41 = hypotenuse

Answer: the length of the hypotenuse is 41 m

Answer 2

Area of a triangle =
`(1)/(2)` · base x height
180 =
`(1)/(2)` · base x 40
180 = 20 · base
9 = base

Pythagorean Theorem:
base² + height² = hypotenuse²
9² + 40² = hypotenuse²
81 + 1600 = hypotenuse²
1681 = hypotenuse²
√1681 = √hypotenuse²
41 = hypotenuse

Answer: the length of the hypotenuse is 41 m