Question

find the area of a triangle whose sides are 18 cm 24 cm and 30 cm also find the length of altitude corresponding to the largest side of the triangle

Answer 1

Answer:

The area of given triangle is 216 square cm and the altitude corresponding to largest side is 14.4 cm.

Step-by-step explanation:

let a = 18 cm, b = 24 cm, c = 30 cm

s = (18+24+30)/2 = 36

Area of triangle = √s(s-a)(s-b)(s-c)

                          = √36(36-18)(36-24)(36-30)

                          = √46656

                          = 216 square cm

Now, we can find the length of altitude corresponding to largest side as follows:

Area = 1/2 × base × height

216 = 1/2 × 30 × height

height = 14.4 cm