Question

Find the area of a triangle whose sides are 18cm ,24cm,and 30cm in length.Find the height corresponding to the greatest side.

Answer 1

Answer:

Area = 216cm² , Corresponding height =24cm

Answer 2

Answer:

14.4 cm

Step-by-step explanation:

half of perimeter (s) = (18+24+30)/2 = 72/2 = 36

area = √s(s-a)*(s-b)*(s-c) = √36 (36 - 18)*(36 - 24)*(36 - 30) sq.cm

       = √36*18*12*6 =216 sq.cm

now, area = 1/2 x base x height

       ∴ 216 =  1/2 x 30 x height    ∴ height =14.4 cm