Question

Find the area of a triangle with sides a = 5, b = 8, and c = 11. A. 12.46 B. 20.88 C. 32.17 D. 18.33

Answer 1

a = 5, b = 8, c =11.

By Hero's Formula

Area = √(s(s-a)(s-b)(s-c))

Where s = (a + b + c) /2

s = (5 + 8 + 11)/2 = 24/2 = 12

s = 12

Area = √(s(s-a)(s-b)(s-c))

= √(12(12-5)(12-8)(12-11))

= √(12(7)(4)(1))

= √336 Use your calculator.

≈ 18.33

Option D.