Question

Triangle ABC is right angled at A and side AD is perpendicular on BC.if AB = 5cm,BC = 13cm and AC = 12cm.find area of triangle ABC?also find length of AD?

Answer 1

HEYA....MATE...
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Given,

AB = 5cm

AC = 12cm

BC = 13cm

Now,

In Triangle ABC ,

Area of Triangle ABC =

$\frac{1}{2} \times ab \times ac$

= $\frac{1}{2} \times 5 \times 12$

= 30 cm

Again,

Area of Triangle ABC =

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

Therefore,

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

$= > \frac{60}{13} = ad$

Thus , The required value of AD is 60/13 cm