Question

If the sides of triangle is 14cm,16cm,&18cm find the area of the triangle by using herons formula

Answer 1

Answer:

107.33cm²

Step-by-step explanation:

here let ABC be the traingle

and AB = a = 14 cm

BC = b= 16 cm

CA =c = 18 cm

now

semi perimeter ,s = a+b+c/ 2

S= 48/ 2

=24

now applying herions formula

area =✓ s(s-a)(s-b)(s-c)

=✓ 24 (24-14)(24-16)(24-18)

= ✓24 ×10×8×6

= ✓ 11520

= 107.33 cm²