Question

Find the area of triangle whose sides are 91cm, 96 cm and 105 cm in length. Find the height corresponding to this greater side.​

Answer 1

Answer:

A = 4057.28 cm²

H = 77.28 cm

Step-by-step explanation:

Find the area of triangle whose sides are 91cm, 96 cm and 105 cm in length. Find the height corresponding to this greater side.​

Sides of Triangle

91 cm  , 96 cm  & 105 cm

s = (91 + 96 + 105)/2 = 146

Area of Triangle Using Hero Formula

A = √146(146-91)(146-96)(146-105)

=> A = √146 * 55 * 50 * 41

=> A = √2 * 73 * 5 * 11 * 2 * 5 * 5 * 41

=> A = 10√164615

=> A = 10 * 405.728

=>A = 4057.28 cm²

height corresponding to this greater side. = H

(1/2) 105 * H = 4057.28

=> H = 77.28 cm