What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 14 and 2?

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 14 and 2?

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Answer 1 · 2015-12-12T19:07:13

$10 \sqrt{2}$ $10sqrt(2)$

Explanation:

Recall that the Pythagorean Theorem allows us to find the length of any side in a right angle triangle, given two side lengths. The formula for the Pythagorean Theorem is:

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

where:
$a =$ $a=$ height
$b =$ $b=$ base
$c =$ $c=$ hypotenuse

To find the hypotenuse, substitute your known values into the equation:

$a^{2} + b^{2} = c^{2}$ $a^2+b^2=c^2$
${(14)}^{2} + {(2)}^{2} = c^{2}$ $(14)^2+(2)^2=c^2$
$196 + 4 = c^{2}$ $196+4=c^2$
$200 = c^{2}$ $200=c^2$
$c = \sqrt{200}$ $c=sqrt(200)$
$c = \sqrt{100} \cdot \sqrt{2}$ $c=sqrt(100)*sqrt(2)$
$c = 10 \sqrt{2}$ $c=10sqrt(2)$

$:.$ , the length of the hypotenuse is $10sqrt(2)$ .

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What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 14 and 2?

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