The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

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asked May 19, 2018 226k views

1 Answer

Kkflf · Answer 1 · 2018-05-25T01:20:53+0000

Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

Data:
leg₁=4 u
leg₂=7 u

Therefore:
hypotenuse²=(4 u)²+(7 u)²
hypotenuse²=16 u²+49 u²
hypotenuse²=65 u²
hypotenuse=√(65 u²)≈8.06 u

Answer: the length of the hypotenuse is 8.06 u

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

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