Triangle ABCis right angled at a .AD is perpendicular to BC.If AB=5cm,BC=13cm and AC=12cm,Find the area of triangle abc .Aiso findthe length of AD.

3 answers

I hope you can figure the area of ABC with no trouble.

Using similar triangles, because angle B is the same in both, and both are right triangles,

12/13 = AD/5
AD = 60/13
Base of the triangle =13cm
altitude of the triangle=12cm
Area of the triangle=1/2(b)(a)
' =1/2(5)(12)
=30cm2
60/13AD and 30cm2triangle of ABC.