Question

In a right triangle $ABC,\angle B=90°.$ If $AB=6cm,BC=8cm$, find $AC$.

Answer 1

Finding $AC$:

In right angle$∆ABC$

By using Pythagoras theorem,

$\Rightarrow A{C}^2=A{B}^2+B{C}^2$

$\Rightarrow A{C}^2=6^2+8^2$

$$\begin{gathered} \Rightarrow A{C}^2=36+64=100 \\ \Rightarrow AC=\sqrt{100} \\ \Rightarrow AC=10cm \end{gathered}$$

Hence, the length of $AC=10cm$.