Respuesta :

Answer:

5.65685424949 or 5.66

Step-by-step explanation:

In a right-angled triangle, the longest side/leg is called the hypotenuse.

The formula to solve for the hypotenuse is:

hyp^2= side^2+side^2

If the hypotenuse of the triangle is already given then we have to solve for a side.

The formula to solve for the side is:

side^2= hyp^2-side^2

This formula to solve for the side is the opposite of solving for the hypotenuse which is the longest side/leg of the right-angled triangle.

In this question we have to solve for the side.

There are two sides in this triangle. Let's name those sides side a and side b. Side a is already given.

hyp= 9

side a = 7

side^2 = hyp^2-side^2

side b = 9^2 - 7^2

side b = 81 - 49

side b = 32

side b = 32

side b= 5.65685424949. to 2 decimal places -> 5.66