Question

5 mm 13 mm 35 mm what's the missing side length?

Answer 1

Determine the common height of triangle by using pythagoras theorem in smaller triangle.

$\begin{gathered} h=\sqrt[]{(13)^2-(5)^2} \\ =\sqrt[]{169-25} \\ =12 \end{gathered}$

Determine the length of hypotenuse side x , by using pythagoras theorem.

$\begin{gathered} x^2=(12)^2+(35)^2 \\ =144+1225 \\ x=\sqrt{1369} \\ =37 \end{gathered}$

So length of missing side is x=37 mm.