Question

The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to largest side is (1) 30√7 cm (2) 15√7/2 cm (3) 15√7/4 cm (4) 30 cm

Answer 1

by Heron's formula,semi perimeterof triangle= (11+15+16)/2= 21 cm

area= root over of (21-11) x (21-15) x (21-16)= 10 *root over of 3

another formula of area = 1/2 * 16* height= 10 * root over of 3=ht. = (5*root over of3)/4