Question

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.

Answer 1

The area of the triangle ABC is 81. 33 square units.

We have to determine

What is the area of triangle ABC?

What is the formula for the area of a triangle?

The area of the triangle is determined by;

$\rm Area \ of \ triangle = s\sqrt{s(s-a)(s-b)(s-c)}$

Where the value of s is = a + b + c= 12 + 14 + 16 = 42

Substitute all the values in the formula;

$\rm Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area \ of \ triangle = \sqrt{21(21-12)(21-14)(21-16)}\\\\\rm Area \ of \ triangle = \sqrt{(21 \times 9 \times 7 \times 5)}\\\\Area \ of \ triangle =\sqrt{6,615}\\\\Area \ of \ triangle = 81.33$

Hence, the area of the triangle ABC is 81. 33 square units.

To know more about the Area of the triangle click the link given below.

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