Problema Solution
what is the total area of three equilateral triangles inscribed in a semicircle of radius 2 cm ?
Answer provided by our tutors
make a drawing
the side of each triangle is equal to 2 cm: a = 2 cm
the height of each triangle is: h = (a√3)/2 (use Pythagorean Theorem to find the height)
the area of each triangle is: A = (1/2)ah
A = (1/2)a((a√3)/2)
A = (1/2)2((2√3)/2)
A = √3
the total area of three equilateral triangles is: 3A = 3√3 cm^2.