Question

Two of the sides are 8 in.

Lila made a triangular flag to cheer on her favorite sports team. The perimeter of the flag is 20 inches.

Heron’s formula: Area = square root s(s-a)(s-b)(s-c)

Approximately how many square inches of fabric were used to make the triangular flag?

15 square inches
76 square inches
186 square inches
215 square inches

Answer 1

15 square inches

i took the quiz, hope this helps! :)

Explanation:

Lila made a triangular flag to cheer on her favorite sports team. The perimeter of the flag is 20 inches.

A triangular flag is shown. 2 sides have lengths of 8 inches. The total perimeter of the flag is 20 inches.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

Approximately how many square inches of fabric were used to make the triangular flag?

15 square inches

76 square inches

186 square inches

215 square inches

Answer 2

Given that we have a perimeter of 20 inches and 2 sides are 8 inches each, the third side is equal to 4 inches. Solving for s which is the semiperimeter,

S = 20/2 = 10

Using Heron’s formula,

A = sqrt of (10)(10-8)(10-8)(10-4) = 15.49 in2

Thus, the answer for this item is the first choice.