Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first triangle is 8 cm?
The ratio of corresponding sides in similar triangles is equal to the ratio of their areas squared.
Let the area of the second triangle be x cm².
Therefore, (5/2)² = x/8
25/4 = x/8
x = 200/4 = 50 cm²
Therefore, the area of the second triangle is 50 cm².