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
The area of the triangle is 30 units^2. the height of the triangle is 4 units.
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
[tex]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[/tex]
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
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