Question

Is this the way to solve this? ​

Answer 1

The length of the hypotenuse of triangle HIJ, given the lengths of the other sides is 14.42

How to calculate the length of the hypotenuse?

Pythagoras theory illustrates how the sides of a right angle triangle can easily be obtained. This theory states as follow:

`Hypotenuse^2 = Adjacent^2\ +\ opposite^2`

Applying the Pythagoras theory, we can easily calculate the hypotenuse of the right angle triangle as illustrated below:

• Adjacent of triangle = 9
• Opposite of triangle = 10
• Hypotenuse of triangle =?

`Hypotenuse^2 = Adjacent^2\ +\ opposite^2\\\\Hypotenuse^2 = 12^2\ +\ 8^2\\\\Hypotenuse^2 = 144\ +\ 64\\\\Hypotenuse^2 = 208\\\\Take\ the\ square\ of \both\ sides\\\\Hypotenuse = √(208)\\\\Hypotenuse = 14.42`

Thus, we can see that the hypotenuse of the triangle is 14.42