state and prove areas of similar triangle theorem
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kstate : The ratios of areas of two similar triangles is equal to the square of the ratio of their corresponding sides
GIVEN : in ABC nd PQR.. such that ABC is similar to PQR
TO PROVE : Area of ABC /Area of PQR =(BC/QR)sqr
CONSTRUCTION : Draw altitudes AM nd PN of the 's
PROOF : Area of ABC=1/2 ✖BC ✖AM / Area of PQR =1/2 ✖QR ✖PN
therefore,, =BC ✖AM /QR ✖PN
GIVEN : in ABC nd PQR.. such that ABC is similar to PQR
TO PROVE : Area of ABC /Area of PQR =(BC/QR)sqr
CONSTRUCTION : Draw altitudes AM nd PN of the 's
PROOF : Area of ABC=1/2 ✖BC ✖AM / Area of PQR =1/2 ✖QR ✖PN
therefore,, =BC ✖AM /QR ✖PN
madweshmr:
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