Question

sides of a triangle 5cm, 8cm, 7cm. finecthe area????

Answer 1

by herons formula
a = 5cm, b = 8cm and c = 7cm
s = (a + b + c)/2 = (5 + 8 + 7)/2 = 20/2 = 10

area of the triangle = √s(s-a)(s-b)(s-c)
=√10(10-5)(10-8)(10-7)
= 10√3 cm^2

Answer 2

Area by Heron's Formula

semi-perimeter= (5+8+7)/2 =20/2 = 10

Now,

Area= root [10*(10-5)*(10-8)*(10-7)]

Area = root [10*5*2*3]


Area = root [50*6]

Area = root [300]

Area =root [ 100*3]

Area= 10* root3

area =17.32cm^2


i hope this will help you


-by ABHAY