Question

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot. Heron's formula: Area 6 square feet 7 square feet 19 square feet 22 square feet

Answer 1

22ft!!!

Explanation:

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Answer 2

Answer: 22 square feet

Explanation:

Using Heon's formula, the are can be found with:

`= √(s(s - a)(s - b)(s - c))`

Where s is half the perimeter

a, b and c are sides

Perimeter = a + b +c

24 = 9 + 10 + c

c = 24 - 9 - 10

c = 5 feet

s = 24 / 2 = 12

Area

`= √(s(s - a)(s - b)(s - c))\\\\= √(12(12 - 9)(12 - 10)(12 - 5))\\\\= √(12 * 3 * 2 * 7)\\\\\\= √(504) \\\\`

= 22 ft²