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

Question

Gerald Bishop

Mathematics

1 July, 15:22

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

+3

Answers (1)

Know the Answer?

Ashley Huffman · 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.