Problem
GEO-B1-M03-P004 Areas of Similar Triangles
#4
★☆☆☆☆ Level 1 of 5
Two similar triangles have corresponding sides in the ratio \(2:3\). The area of the smaller triangle is \(20\). Find the area of the larger one.
Areas are in the ratio of the squares of corresponding sides.
If the sides are in the ratio \(2:3\), the areas are in the ratio \(4:9\). Therefore the area of the larger triangle is \(20\cdot\frac{9}{4}=45\).
Make sure the student says “square”.