What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 4?

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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 4?

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Answer 1 · 2018-06-23T06:13:57

$\approx 6.4031$ $approx 6.4031$ units

Explanation:

Given a $△ A B C$ $triangle ABC$ where $∠ A$ $angle A$ is a right angle and opposite sides are labeled $a, b and c$ $a, b and c$ respectively, then Pythagoras' Theorem states that:

$a^{2} = b^{2} + c^{2}$ $a^2 = b^2+c^2$

Since the hypotenuse of a right triangle is the side opposite the right angle, in this example, the hypotenuse $= a$ $=a$ and either $b = 5 and c = 4$ $b=5 and c=4$ or vice versa. (Which makes no difference in this case]

$:. a^2 = 5^2+4^2$

$= 25 + 16 = 41$

Hence, $a = +-sqrt41 approx +-6.4031$

Since the side of a triangle must be positive,

$-> a approx 6.4031$ units

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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 4?

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