Question

What is the length of the missing leg? If necessary round to the nearest 10th

Answer 1

We are given a right angled triangle with the hypotenuse and one other leg given.

To calculate the missing side in any right angled triangle we shall apply the Pythagoras theore, which is;

`c^2=a^2+b^2`

The hypotenuse is represented by c while a and b represents the two other side lengths.

This means for the given triangle we would have the following;

`65^2=60^2+b^2`

We expand these and we now have;

`4225=3600+b^2`

Subtract 3600 from both sides and we now have;

`\begin{gathered} 4225-3600=3600-3600+b^2 \\ 625=b^2 \end{gathered}`

We now take the square root of both sides of the equation;

`\begin{gathered} \sqrt[]{625}=\sqrt[]{b^2} \\ 25=b \end{gathered}`

ANSWER:

The missing b = 25