What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 6?

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 6?

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Answer 1 · 2016-01-28T14:15:34

$\approx 7.8$ $≈ 7.8$

Explanation:

Pythagoras' Theorem states for a right triangle 'the square on

the hypotenuse is equal to the sum of the squares on the other

2 sides'

If h = hypotenuse and a , b represent the other 2 sides :

then : $h^{2} = a^{2} + b^{2}$ $h^2 = a^ 2+ b^2$

For this question let a = 5 and b = 6

hence $h^{2} = 5^{2} + 6^{2} = 25 + 36 = 61$ $h^2 = 5^2 + 6^2 = 25 + 36 = 61$

so $h = \sqrt{61} \approx 7.8$ $h = sqrt61 ≈ 7.8$

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 6?

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