Question

The legs of a right triangle measure 6 meters and 8 meters. What is the length of the hypotenuse?

Answer 1

Hypotenuse=x
x2=(6)2+(8)2
x2=36+64 m2
x2=100m2
x=10 m

Answer 2

The length of the hypotenuse is 10 meter.

What is the Pythagoras theorem?

Pythagoras theorem states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)". That is if c denotes the length of the hypotenuse and a and b denote the two lengths of the legs of a right triangle, then the Pythagorean theorem can be expressed as the Pythagorean equation:

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

According to the given question.

We have a right angled triangle, whose length of the legs are 6 meter and 8 meter.

Let x be the length of the hypotenuse.

By Pythagoras theorem

$x^{2} =6^{2} +8^{2}$

$\implies x^{2} = 36 + 64\\\implies x^{2} = 100\\\implies x=\sqrt{100$

$\implies x = 10 meter$

Hence, the length of the hypotenuse is 10 meter.

Find out more information about Pythagoras theorem here:

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