Question

For questions 6 – 10, find the unknown side length. number 7solve number 7

Answer 1

Let us begin by labelling the sides of the triangle

The triangle is a right-angled triangle hence we can use Pythagoras theorem to find s

$Hypothenuse^2\text{ = Opposite}^2\text{ + Adjacent}^2$

Substituting the given sides:

$\begin{gathered} s^2\text{ = 12}^2\text{ + 12}^2 \\ s^2\text{ = 288} \\ s\text{ = }\sqrt{288} \\ s\text{ = 12}\sqrt{2} \\ s\text{ }\approx\text{ 16.97} \end{gathered}$

Answer:

$\begin{gathered} Exact\text{ answer : 12}\sqrt{2} \\ Decimal\text{ approx : 16.97} \end{gathered}$