Is a triangle with side lengths 20, 24, and 36 a right triangle?

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Is a triangle with side lengths 20, 24, and 36 a right triangle?

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Answer 1 · 2016-04-05T22:03:10

No

Explanation:

A right angled triangle must obey Pythagoras Theorem - the square on the hypotenuse must be equal tot he sum of the squares on the other 2 sides, ie $x^{2} + y^{2} = r^{2}$ $x^2+y^2=r^2$ .

In this case we get that

$20^{2} + 24^{2} = 976 \neq 36^{2} = 1296$ $20^2+24^2=976 != 36^2=1296$ .

Hence Pythagoras is not satisfied and so the triangle is not right angles.

Answer 2 · 2016-04-06T02:57:04

No

Explanation:

Remember the pythagorean theorem

If it is a right triangle:

$a^{2} + b^{2} = c^{2}$ $color(blue)(a^2+b^2=c^2$

Where $a and b$ $aand b$ are the sides and $c$ $c$ is the Hypotenuse

Remember that the Hypotenuse is the longest side of a right triangle

$:.c=36$

$rarr20^2+24^2=36^2$

$rarr400+576=1296$

$color(red)(rArr976!=1296$

So,

This is not a right triangle

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Is a triangle with side lengths 20, 24, and 36 a right triangle?

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