In the similar triangles, ΔABC and ΔDEF, () () = 3/ 4 . If the median AL = 6 cm, then find the median DM of Δ DEF.
Anonymous:
8 cm
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5
6cm OK ......
LIKE IF RIGHT OR WRONG
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how u got it
8 sure wait i am solving
because they are same
even i got 8
greatest90 they similar doesnt mean they are equal. hence they are not same
Answered by
8
The ratio of the corresponding sides of Δ ABC and Δ DEF is 3 : 4
Hence the ratio of the medians will be 3 : 4 [ property of similar Δs ]
So:
AL : DM = 3 : 4
==> 6 cm : DM = 3 : 4
==> DM : 6 = 4 : 3 [ Invertendo ]
==> DM = 4/3 × 6 cm
==> DM = 4 × 2 cm
==> DM = 8 cm
The median of DM is 8 cm
Hope it helps :-)
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i did in other way but i got 8
ar(abc)/ar(def)=3/4=AL X BC/DM X DE
yes that is lengthier
okay thank you
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