Question

Triangle ABC is a 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?

Answer 1

So that is your answer

Answer 2

Answer:

Area = 30 cm² and AD = 4.61 cm

Step-by-step explanation:

For better understanding of the solution see the attached figure :

$\text{Area of triangle = }\frac{1}{2}\times Base\times Height\\\\\text{Area of ABC =}\frac{1}{2}\times AB\times AC\\\\Area=\frac{1}{2}\times 5\times 12\\\\\bf\implies Area = 30 \thinspace{ cm^2}$

Now, for finding the length of AD :

Taking BC as a base and AD as a height of the triangle

$\implies Area=\frac{1}{2}\times BC\times AD\\\\\implies 30=\frac{1}{2}\times 13\times AD\\\\\implies AD=\frac{30\times 2}{13}\\\\\implies AD=\frac{60}{13}\\\\\bf\implies AD=4.61\thinspace{ cm^2}$