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In a right triangle, one leg measures 4 inches and the other leg measures 6 inches. What is the length of the hypotenuse in inches?

A2√ 13
B√ 52
C10
D52

Verified Answer :

texaschic101

a^2 + b^2 = c^2
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
sqrt 52 = c
sqrt (4 * 13) = c
2 sqrt 13 = c.....I believe ur answer is A because sqrt of 52 breaks down to 2 sqrt 13

Answer:

\(length\ of\ the\ hypotenuse\ in\ inches\ is\ 2 \sqrt{13} .\)

Step-by-step explanation:

By using the pythagoream theorem

Hypotenuse² = Perpendicular² + Base²

As given

In a right triangle, one leg measures 4 inches and the other leg measures 6 inches.

Thus

Hypotenuse² = 4² + 6²

Hypotenuse² = 16 + 36

Hypotenuse² = 52

\(Hypotenuse = \sqrt{52}\)

\(Hypotenuse = 2 \sqrt{13}\ inches\)

\(The\ length\ of\ the\ hypotenuse\ in\ inches\ is\ 2 \sqrt{13} .\)



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