Question

In ABC, Angle A=90degree ,AB=5cm &AC=12cm.If AD is perpendicular to to BC, then length of AD is.

Answer 1

13 length is 13. .....,

Answer 2

In right angles triangle BAC, AB = 5 cm and AC = 12 cm

Area of triangle =1/2 x base x height

= 1/2x AB x AC

= 1/2 x 5 x 12 = 30 cm2

Now, in Δ ABC,

Area of triangle ABC =1/2 x BC x AD

⇒ 30 = 1/2 x 13 x AD

⇒ AD = (30 x 2)/13

= 60/13 cm