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

b) 6.7

Step-by-step 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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a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign