Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t

Question

2 years ago

8

o the nearest square inch.
Heron’s formula: Area
19 square inches
37 square inches
60 square inches
95 square inches

1 answer:

VladimirAG [237] · Answer 1 · 2023-05-31T02:57:35+03:00

Using the Heron's formula, the area of the triangle is: D. 95 square inches.

<h3>What is the Heron's Formula?</h3>

Area = √[s(s - a)(s - b)(s - c)] where s is half the perimeter, or (a + b + c)/2.

Given the following:

s = semi-perimeter = 1/2(50) = 25 in.

a = length of side a = 22 in.

b = length of side b = 13 in.

c = length of side c = 50 - 22 - 13 = 15 in.

Plug in the values

Area = √[25(25 - 22)(25 - 13)(25 - 15)]

Area = √[25(3)(12)(10)]

Area ≈ 95 square inches.

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