Question

The triangle is not drawn to scale.What does X =

Answer 1

Answer:

x = 20

Explanations:

The triangle shown is a right angled triangle

The longest side of the triangle is called the hypotenuse

The side facing the angle is called the opposite

The third side is the adjacent

In this triangle:

Hypotenuse = 52

Opposite = 48

Adjacent = x

Using the Pythagora's theorem

$\begin{gathered} \text{Hypotenuse}^2=Opposite^2+Adjacent^2 \\ 52^2=48^2+x^2 \\ 2704\text{ = }2304+x^2 \\ x^2=\text{ 2704 - 2304} \\ x^2=\text{ 400} \\ x\text{ = }\sqrt[]{400} \\ x\text{ = 20} \end{gathered}$