Question

Find the value of x in the triangle shown below.13c12Choose 1 answer:A = 1B= 5C=156D= V313

Answer 1

We are given a right-angled triangle.

Recall that the Pythagorean theorem is given by

`a^2+b^2=c^2`

Where a and b are the shorter sides and c is the longest side.

For the given case, one shorter side (12) and the longest side (13) is given

Let us find the other shorter side (x)

`\begin{gathered} a^2+b^2=c^2 \\ a^2=c^2-b^2 \\ a^2=13^2-12^2 \\ a^2=169-144 \\ a^2=25 \\ a=\sqrt[]{25} \\ a=5 \end{gathered}`

Therefore, the third side x is 5

`x=5`