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The lengths of the legs of a right triangle are 6 cm and 3 cm.

How long is the hypotenuse?

Round the answer to the nearest tenth of a centimeter.


a) 5.2


b) 6.7


c) 27


d) 45

2 Answers

6 votes

Answer:

Do u know the answer to

Explanation:

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)

A) 3.3 in

B) 6.7 in

C) 7.9 in

D) 9.0 in

User Thersch
by
5.2k points
2 votes

Answer:

b) 6.7

Explanation:

They Pythagorean theorem tells you the relationship between the lengths of the legs and the hypotenuse of a right triangle. For legs "a" and "b" and hypotenuse "c", that theorem tells you ...

... c² = a² + b²

For your values, this is ...

... c² = (6 cm)² + (3 cm)² = (36 +9) cm² = 45 cm²

Then the length c is found by taking the square root.

... c = √(45 cm²) ≈ 6.7 cm

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Comment on calculating square roots

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The lengths of the legs of a right triangle are 6 cm and 3 cm. How long is the hypotenuse-example-1
User Brandon Pugh
by
6.7k points