Question

Find the missing side of the triangle.A. √11 miB. 2√2 miC. 1 miD. √19 mi

Answer 1

Since we have a right-angled triangle, we can use the Pythagoras Theorem:

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

where a and b are the shorter sides of the triangle and c is the hypotenuse.

a = x; b = 3 mi; c = sqrt(10).

We substitute our values and then we solve for x:

`\begin{gathered} x^2+3^2=(\sqrt[]{10})^2 \\ x^2=10-3^2 \\ x^2=1 \\ x=1 \end{gathered}`

Therefore, the missing side of the triangle is 1 mi.