Question

Triangle lmn has sides measuring 7 meters and 6 meters and a perimeter of 16 meters. heron’s formula: area = startroot s (s minus a) (s minus b) (s minus c) endroot what is the area of triangle lmn? round to the nearest square meter. 3 square meters 9 square meters 28 square meters 34 square meters

Answer 1

Answer:

9 m²

Step-by-step explanation:

s = half the perimeter = (a+b+c)/2

the perimeter in our case is

a+b+c = 16

so, s = 16/2 = 8

and the sides are

7 m

6 m

16 - 7 - 6 = 3 m

therefore, we get

area = sqrt(8(8-7)(8-6)(8-3)) = sqrt(8×1×2×5) = sqrt(80) =

= 8.94427191... ≈ 9 m²