in triangle ABC and DEF it is being given that AB = 5 cm and BC = 4 cm and AC = 4.2 cm , DE = 10 cm , EF = 8 cm ,DF = 8.4 cm. If AL perpendicular BC and DM perpendicular EF , find AL:DM ????
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Answer:
1/2
Step-by-step explanation:
Given, AB=5 cm, BC=4 cm, CA=4.2 cm, DE=10 cm, EF=8 cm and FD=8.4 cm
Now,
DE/AB=10/5=2/1=2
EF/BC=8/4=2/1=2
FD/CA=8.4/4.2=2/1=2
Since,
DE/AB=EF/BC=FD/CA
Thus. △ABC∼△DEF ....... (SSS rule)
Now, in similar triangles the altitudes are in the ratio of corresponding sides.
DM/AL=DE/AB=1/2
.: AL/DM=1/2
hope it help u
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