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
If you don't have a scientific calculator, you can use a Google search box to do the math for you.