Question

△ABC is right angled at A. AD is perpendicular to BC. If AB = 5cm, BC = 13cm and AC = 12cm. Find the area of \triangle△ ABC. Also find the Length of AD.

Gud morning ❤️ ji​

Answer 1

In right angles triangle BAC,

$AB = 5cm \: and \: AC = 12cm</p><p>$

Area of triangle :-

$\frac{1}{2} \times base \times height \\ = \frac{1}{2} \times ab \times bc$

Area =

$\frac{1}{2} \times 5 \times 12 = 30 {cm}^{2}$

Now in △ ABC,

Area or triangle ABC =

$\frac{1}{2} \times bc \times ad$

$⇒30 = \frac{1}{2} \times 13 \times ad$

$⇒ad = \frac{30 \times 2}{13} \\ ⇒ \frac{60}{13} cm$