Question

Determine the length of the base and the corresponding height of ABC, and use them to find the area of ABC.

Answer 1

The area of the triangle is 30 units^2. the height of the triangle is 4 units.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle can be calulated by the herons formula

base of ABC = AC = 15 units

Height of ABC = 4 units

Semi perimeter s = 5 + 12.65 + 15/ 2 = 32.65 / 2 = 16.32

Herons formula

$Area = \sqrt{s(s-a) (s-b)(s-c)}\\\\Area = \sqrt{16.32(16.32-5) (16.32-12.65)(16.32-15)}\\\\Area = \sqrt{16.32(11.32) (3.675)(1.32)}\\\\Area = 29.93$

Area of ABC is 30 units^2 approximately.

Height of the triangle = 2( area) / base

                                    = 2( 30) / 15

                                    = 4.

WE can see that

Area of ABC = 1/2 (base) (height)

                     = 1/2 (15 units) (4 units)

                      = 30 units^2

Learn more about the area;

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Answer 2

Answer: 30 units^2

Step-by-step explanation:

base of ABC = AC = 15 units

Height of ABC = 4 units

Area of ABC = 1/2 (base) (height) = 1/2 (15 units) (4 units) = 30 units^2