Triangle A B C is shown. The length of A B is 16, the length of B C is 14, and the length of A C is 12.
Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

What is the area of triangle ABC? Round to the nearest hundredth of a square unit.

17.75 square units
81.33 square units
372.71 square units
957.74 square units

Respuesta :

Answer:

81.33 square units

Step-by-step explanation:

The area of the triangle is 81.33 sq.units.

What is a Triangle?

A triangle is a polygon with three sides, three angles and three vertices.

The triangle ABC has sides 16, 14, and 12

The area of a scalene triangle is determined by

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

s = semi perimeter = (a+b+c)/2

s = 21 units

[tex]\rm A = \sqrt{ 21(21-16)(21-14)(21-12)[/tex]

A  = 81.33 sq.units

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