Find the area of a triangle with legs that are: 6 mm, 4 mm, and 8 mm.

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Area of triangle of sides 6 mm, 4 mm, and 8 mm can be found by Heron's formula.

Area = √s(s-a)(s-b)(s-c)

Here, a = 6 mm , b = 4 mm , c = 8 mm

s = (a  + b + c)/2

 s = (6 + 4 + 8)/2

s = 18/2 = 9

So,  Area = √9(9-6)(9-4)(9-8)

= √9 × 3 × 5 × 1

= 3√15

= 3 × 3.87

= 11.61 mm²

 

Thus, Area of triangle with legs 6 mm, 4 mm, and 8 mm is 11.61 mm²