Answer:
772.035cm^2
Explanation:
To calculate the surface area of an isosceles triangle, we need the lengths of the base and the two equal sides. The formula to calculate the area of an isosceles triangle is given by:
Area = (1/4) * √(4a^2 - b^2) * b
where 'a' represents the length of the equal sides and 'b' represents the length of the base.
Given:
Base (b) = 45 cm
Equal side length (a) = 41 cm
Using the formula, we can calculate the surface area:
Area = (1/4) * √(4 * 41^2 - 45^2) * 45
Area = (1/4) * √(4 * 1681 - 2025) * 45
Area = (1/4) * √(6724 - 2025) * 45
Area = (1/4) * √(4699) * 45
Area ≈ (1/4) * 68.5812 * 45
Area ≈ 17.1453 * 45
Area ≈ 772.035 cm²
Therefore, the surface area of the isosceles triangle is approximately 772.035 cm².