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what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively
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what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively
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Mathematics
5 years
2021-08-18T05:29:27+00:00
2021-08-18T05:29:27+00:00 1 Answers
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Answer:
9.22 feet
Step-by-step explanation:
To find the sides of a right triangle, we use the Pythagorean Theorem:
a² + b² = c²
a and b are each one side. c is the hypotenuse.
Let’s plug in what we know.
a² + b² = c²
(6)² + (7)² = c²
Evaluate the exponents.
36 + 49 = c²
Add.
85 = c²
Take the square root of both sides.
√85 = √c²
√85 = c
9.22 = c
The hypotenuse is about 9.22 feet long.
Hope this helps!