Find the area of ABC in which BC = 8cm, AC = 15cm and AB = 17 cm. Find the length of altitude drawn on AB.

It is given in the question that,

Sides or triangle ABC is:


BC = a = 8 cm


AC = b = 15 cm


AB = c = 17 cm


We know that,


Perimeter of triangle = Sum of all sides


= a + b + c


= 8 + 15 + 17


= 40 cm


s =


=


= 20 cm


Hence,


Area of =


=


=


= 60 cm2


Also, Area of triangle ABC =


60 =


120 = 17 × Height


Height =


= 7.06 cm


Hence, area of triangle is 60 cm2 and length of altitude is 7.06 cm


7