Question

What is the length of the unknown leg to the nearest tenth?T 1610

Answer 1

Ans:12.5

Using Pythagoras theorem in the triangle,

`\begin{gathered} \text{Hypotenuse}^2=Base^2+Altitude^2 \\ 16^2=10^2+a^2 \\ 256=100^{}+a^2 \\ 256-100=a^2 \\ 156=a^2 \\ \sqrt[]{156}=a \\ 12.5=a \end{gathered}`

Therefore, length of the unknown leg, a=12.5.