Question

Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
26
24
The value of x is

Answer 1

Pythagoras theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Let us consider one length i.e. 26 to be Perpendicular and other length i.e. 27 to be Base.

According to the Pythagoras theorem:

$\text{Hypotenuse}^2=\text{Perpendicular}^2+\text{Base}^2$

Let us consider the value of Hypotenuse to be x.

$x^2=26^2+24^2\\\\x^2=676+576\\\\x^2=1252\\\\x=\sqrt{1252} \\\\x=35.38$

Thus, from the value of x we can infer that the given lengths are not forming Pythagorean triple.

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