Question

Need help asappppppp

Answer 1

This is a right-angled triangle problem, and to solve for an unknown side, we will apply the Pythagoras theorem.

Pythagoras theorem states:

`\text{hypotenuse}^2=opposite^2+adjacent^2`

From the question:

Hypotenuse = 13in

Opposite = 5in

Adjacent = b

Substituting all these paramenters into the equation above:

`\begin{gathered} 13^2=5^2+b^2 \\ 13^2-5^2=b^2 \end{gathered}`
`\begin{gathered} 169-25=b^2 \\ 144=b^2 \\ \text{Take the square root of both sides} \\ \sqrt[]{144\text{ }}=\text{ }\sqrt[]{b^2} \\ 12=b \end{gathered}`

The value of b is 12 in