Calculate the area of a triangle if its sides are 12 cm, 10 cm, 14 cm.

Calculate the area of a triangle if its sides are 12 cm, 10 cm, 14 cm.
Given:
a = 12cm
b = 10cm
c = 14cm
Find: S∆-? (area of a triangle)
Decision:
S∆ = √p * (p-a) * (p-b) * (p-c), a, b, c – sides, p – semiperimeter, S-area, ∆-triangle, √-root sign.
p∆ = (a + b + c) / 2, hence:
1) р∆ = (12 + 10 + 14) / 2 = 36/2 = 18 (cm), then:
2) S∆ = √18 * (18-12) * (18-10) * (18-14) =
√18 * 6 * 8 * 4 = √3456 ~ 58.8 (sq cm)
Answer: S∆ ~ 58.8 sq. cm