Question

A right triangle has legs of lengths 5 and 7. Find the exact length of the hypotenuse. If the answer is not a whole number, leave it in square root form.

Answer 1

Answer:

√74

Step-by-step explanation:

We know the pythagorian triplet that,

A^2 + B^2 = Hypotenuse^2

Or, 5^2 + 7^2 =Hypotenuse ^2

Or, 25+49= Hypotenuse^2

Or, 74 = Hypotenuse^2

Hypotenuse= √74

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Answer 2

H ² = p ² + b ²
h ²=7 ² + 5 ²
h ² = 49+25
h ² = 74 ²
h = √ 74
h = 8.602

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