Question

Find the missing side of this righttriangle.X911x = √ [?]XEnter the number that belongs in the green box.

Answer 1

Explanation

We are given a right-angled triangle with the following:

`\begin{gathered} perpendicular=9 \\ base=11 \\ hypotenuse=x \end{gathered}`

We are required to determine the missing side (i.e. the value of x).

We can achieve this by using the Pythagorean theorem as follows:

`\begin{gathered} hypotenuse^2=perpendicular^2+base^2 \\ h^2=p^2+b^2 \\ Substitute\text{ }each\text{ }values \\ x^2=9^2+11^2 \\ x^2=81+121 \\ x^2=202 \\ x=√(202) \end{gathered}`

Hence, the answer is:

`x=√(202)`