Question

The hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long. which equation can be used to find the length of the remaining side?

Answer 1

Answer:

The equation used is

$(\text{Remaining side})^2=14^2-9^2$  

Step-by-step explanation:

Given that the hypotenuse of a right triangle has a length of 14 units and a side that is 9 units long.

we have to find the equation which is used to find the length of the remaining side.

In right angled triangle Pythagoras theorem can be used to find the length of one side if two sides are given as

$Hypotenuse^2=(one \thinspace side)^2+(other\thinspace side)^2$

$14^2=9^2+(\text{Remaining side})^2$

$(\text{Remaining side})^2=14^2-9^2$

which is required equation

Answer 2

Using the Pythagorean therom.

$9^{2} + b^{2} = 14^{2}$
81 + b^{2} = 196
b^{2} = 115
b = $\sqrt{115}$

Hope this helps!