Question

3.1f AXYZ ~ APQR and A(AXYZ) = 25 cm2 ,A(APQR) = 4 cm2 then XY: PQ =?
(A) 4:25
(B)2:5
(C) 5:2
(D)25:4​

Answer 1

Answer:

(C)5:2

Step-by-step explanation:

Given,

Given, ∆XYZ ~ ∆PQR(Similar)

Area of ∆ XYZ = 25 cm²

Area of ∆ XYZ = 25 cm²Area of ∆ PQR = 4 cm²

Area of ∆ XYZ = 25 cm²Area of ∆ PQR = 4 cm²We know that ,

Area of ∆ XYZ XY²

Area of ∆ XYZ XY²--------------------- = --------

Area of ∆ XYZ XY²--------------------- = -------- Area of ∆ PQR PQ²

Therefore, XY √25 5

Therefore, XY √25 5 ----- = ------- = ---- = 5:2

Therefore, XY √25 5 ----- = ------- = ---- = 5:2 PQ √4 2

Therefore, XY √25 5 ----- = ------- = ---- = 5:2 PQ √4 2XY:PQ = 5:2