Question

The side of a triangle are 40 cm ,30 cm ,5.0 cm find the length of the altitude corresponding of the side 50 cm

Answer 1

Let a = 40cm, b= 30cm and c = 50 cm.

Area of a triangle = √s (s-a) (s-b) (s-c) 

Where s = (a+b+c)/2

              = (40+30+50)cm / 2

              = 120cm/2

              = 60cm

Area = √60 (60-40) (60-30) (60-50) cm²

        = √60 × 20 × 30 × 10

        = √360000

        = 60 cm²

Let the altitude drawn corresponding of the side 50cm be h.

Base = 50cm

Area = 60cm²

Area of a triangle = 1/2 × base × height

=> 60cm² = 1/2 × 50cm ×h

=> h = 60cm² × 2 / 50cm

=> h = 2.4 cm

Ans. = The length of the altitude is 2.4cm.

Hope it helps!! ^^