Question

Easy algebra question below first correct answer gets brainliest

Answer 1

Given:

The right angle triangle with legs 4 units and 7 units.

To find:

The length of hypotenuse.

Solution:

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

Let x be the length of the hypotenuse.

Using the Pythagoras theorem for the given triangle, we get

$x^2=4^2+7^2$

$x^2=16+49$

$x^2=65$

Taking square root on both sides, we get

$x=\sqrt{65}$                [∵Side length cannot be  negative]

$x\approx 8.06$

Therefore, the length of the missing side for the given right angle triangle is 8.06 units.