Question

Find the missing side length. The missing hypotenuse is blank units long

Answer 1

Given: A right triangle

To Determine: The value of x

Solution

Please note that the longest side of the right triangle is the hypothenuse

Using the Pythagoras theorem

`\begin{gathered} Hypothenuse^2=leg1^2+leg2^2 \\ Therefore \\ x^2=9^2+12^2 \end{gathered}`
`\begin{gathered} x^2=81+144 \\ x^2=225 \\ x=√(225) \\ x=15 \end{gathered}`

Hence, the missing hypothenuse is 15 units long