The area of the square is 9 cm. The sides of the triangle are a = 3, b = 4, c = 1.5 cm.

The area of the square is 9 cm. The sides of the triangle are a = 3, b = 4, c = 1.5 cm. What percentage is the area of the triangle from the area of the square?

Find the area of the triangle using Heron’s formula.
The first side of the triangle: a = 3 cm.
Second side of the triangle: b = 4 cm.
Third side of the triangle: c = 1.5 cm.
Find the semiperimeter of a given triangle by the formula: p = (a + b + c) / 2 = (3 + 4 + 1.5) / 2 = 8.5 / 2 = 4.25 cm.
We now calculate the area of a given triangle using Heron’s formula: S = √ (p * (p – a) * (p – b) * (p – c) = √4.25 * (4.25 – 3) * (4.25 – 4) * (4.25 – 1.5) = √4.25 * 1.25 * 0.25 * 2.75 = √3.65 = 1.9.
9 cm – 100%
1.9 – x%
x = 1.9 * 100/9 = 21%
Answer: the area of the given triangle is 21% of the area of the square.