Triangle ABC and triangle DEF have corresponding sides in 3:5 ratio. If area of triangle ABC is 54 cm², what is the area of triangle DEF?
Show answer & explanation
Correct answer: B
Explanation
Given:
Ratio of sides (ABC : DEF) = 3 : 5
Area of triangle ABC = 54 cm²
By formula:
Ratio of areas = (Ratio of sides)²
Ratio of areas = 3² : 5² = 9 : 25
ABC : DEF = 9 : 25
9 divided = 54
1 divided = 6
Area of DEF = 25 × 6 = 150
Area of triangle DEF = 150 cm²