Question

1. Determine the missing length in the following triangle. Round to thenearest tenth.(2 points: 1 point for correct answer, 1 point for showingyour work) *1.)20x=16Your answer

Answer 1

The triangle shown is a right angled triangle, and two sides are given. We shall calculate the third side using the Pythagoras' theorem.

`\begin{gathered} x^2+16^2=20^2 \\ x^2+256=400 \\ \text{Subtract 256 from both sides} \\ x^2=144 \\ \sqrt[]{x^2}=\sqrt[]{144} \\ \text{The square root sign cancels out the power of two, hence;} \\ x=\sqrt[]{144} \\ x=12 \end{gathered}`