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The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.

Respuesta :

The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The sides of a triangle measure 12 inches, 17 inches, and 24 inches.

From the formula:

[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\rm s = \dfrac{a+b+c}{2}[/tex]

a = 12, b = 17, c = 24 inches

[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]

Plug all the values in the formula we get:

Area = 95.529 ≈ 95.53 square inches

Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

Learn more about the triangle here:

brainly.com/question/25813512

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