Example 8 In Fig. 2.33, CM and RN arerespectively the medians of Δ AB

1.	Example 8 In Fig. 2.33, CM and RN arerespectively the medians of Δ ABC andΔΡ0R. IfΔABC ~ Δ PQR, prove that :CM AB() RN PQ(iii) Δ CMB ~ Δ RNQ
Answer» From the above the diagrams CM and RNare the medians for the triangles. we know thatΔABC≈ΔPQR AB/PQ = BC/QR = AC/PR ------------------------(1)fromΔAMC andΔPNR∠A =∠P∠M =∠N = 90AC = PRby ASA similarityΔAMC≈ΔPNR ----PROVED from thisAC/PR = CM/RN = AM/PNFROM ------(1)AB/PQ = BC/QR = AC/PRfrom thatCM/RN = AB/PQ -----PROVED fromΔBMC andΔQNR∠B =∠Q∠M =∠N = 90BC = RQby ASA similarityΔBMC≈ΔQNR ------PROVED plz fast thank u

Example 8 In Fig. 2.33, CM and RN arerespectively the medians of Δ ABC andΔΡ0R. IfΔABC ~ Δ PQR, prove that :CM AB() RN PQ(iii) Δ CMB ~ Δ RNQ

Answer»

From the above the diagrams CM and RNare the medians for the triangles.

we know thatΔABC≈ΔPQR

AB/PQ = BC/QR = AC/PR ------------------------(1)fromΔAMC andΔPNR∠A =∠P∠M =∠N = 90AC = PRby ASA similarityΔAMC≈ΔPNR ----PROVED

from thisAC/PR = CM/RN = AM/PNFROM ------(1)AB/PQ = BC/QR = AC/PRfrom thatCM/RN = AB/PQ -----PROVED

fromΔBMC andΔQNR∠B =∠Q∠M =∠N = 90BC = RQby ASA similarityΔBMC≈ΔQNR ------PROVED

plz fast

thank u