Triangle A has a side length of 6 cm. A similar triangle, Triangle B, has a corresponding side length of 18 cm. If the area of Triangle A is 20 cm², what is the area of Triangle B?
Show answer & explanation
Correct answer: B
Explanation
Given:
Side of Triangle A = 6 cm
Side of Triangle B = 18 cm
Area of Triangle A = 20 cm²
According to the formula:
Ratio of the areas of similar triangles = (Ratio of corresponding sides)²
Ratio of sides = 18 : 6 = 3 : 1
Ratio of areas = 3² : 1² = 9 : 1
Area of Triangle B = 20 × 9 = 180 cm²