The area of the largest triangle is 48 square inches
Area of a triangle
The formula for calculating the area of a triangle is expressed as:
Area = 1/2 * base * height
Determine the height using Pythagoras theorem
h² = 20² -16²
h² = 400 - 256
h² = 144
h = 12in
Determine the area of largest triangle = 1/2 * 12 * 16
Area of largest triangle = 1/2 * 6 * 16
Area of largest triangle = 48 square inches
Hence the area of the largest triangle is 48 square inches
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