Question

The roof on a shed is a square-based pyramid. if the base has a side length of 10 feet and the slant length of the root is 9.4 feet, find the area of the roof.

Answer 1

Sample Response: First, identify the longest length, the square root of 186, as the hypotenuse. Find the squares of each side. For the roof, the sum of the squares of the two shorter sides, 186, equals the square of the longest side, 186. Yes, the roof is a right triangle.

Answer 2

we know that

[the area of the root]=4*[area of one lateral triangle side]

area of one lateral triangle side=b*h/2
b=10 ft
h=9.4 ft
area of one lateral triangle side=10*9.4/2-----> 47 ft²

[the area of the root]=4*[47]-------> 188 ft²

the answer is
the area of the root is 188 ft²