If Δ ABC ~ Δ PQR and AB : PQ = 2 : 3, then A(Δ ABC) : A(Δ PQR) = .................... .
Q.1 (A)(1) If Δ ABC ~ Δ PQR and AB : PQ = 2 : 3, then A(Δ ABC) : A(Δ PQR) = .................... .
A. 2 : 3
B. 3 : 2
C. 4 : 9
D. 8 : 27
Q.1 (A)(1) If Δ ABC ~ Δ PQR and AB : PQ = 2 : 3, then A(Δ ABC) : A(Δ PQR) = .................... .
A. 2 : 3
B. 3 : 2
C. 4 : 9
D. 8 : 27
Best answer
Answer: C. 4 : 9
Answer: (C) 4 : 9
The ratio of the areas of two similar triangles equals the ratio of the squares of their corresponding sides.
\(\dfrac{A(\Delta ABC)}{A(\Delta PQR)} = \dfrac{AB^2}{PQ^2} = \dfrac{2^2}{3^2} = \dfrac{4}{9}\).
Log in or create a free account to answer this question.