Question

What is the value of c? Keep in radical form or round to the nearest hundredth (2 decimal places)​

Answer 1

The value of C in the given right angle triangle is calculated to be 13.45

How to determine the value of C in the diagram?

The value of C in the given right angle triangle can be calculated by using the Pythagoras theory as illustrated below:

• Adjacent = 9
• Opposite = 10
• Hypothenuse = Value of c =?

Pythagoras theory states as follow:

`Hypothenuse^2 = Adjacent^2\ +\ Opposite^2`

Input the given sides and evaluate to obtain c as shown below:

`Hypothenuse^2 = Adjacent^2\ +\ Opposite^2\\\\c^2 = 9^2\ +\ 10^2\\\\c^2 = 81\ +\ 100\\\\c^2 = 181\\\\Take\ the\ square\ root\ of\ both\ sides\\\\c = √(181) \\\\c = 13.45`

From the above, we can say that the value of c in the diagram is 13.45