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Question
In ΔABC and A DEF, it is being given that: AB = 5 cm, BC = 4 cm and CA = 4.2 cm;
DE. 10cm, EF= 8cm and FD = 8.4cm. If AL⊥BD and DM⊥EF, find AL : DM.
In ΔABC and A DEF, it is being given that: AB = 5 cm, BC = 4 cm and CA = 4.2 cm;
DE. 10cm, EF= 8cm and FD = 8.4cm. If AL⊥BD and DM⊥EF, find AL : DM.
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Solution
Given AB = 5 cm, BC = 4 cm, CA = 4.2 cm, DE = 10 cm, EF = 8 cm, and FD = 8.4 cm
We need to find AL : DM
Since, the ratio of corresponding sides of both triangles are same, both the triangles are similar.
Here, we use the result that in similar triangle the ratio of corresponding altitude is same as the ratio of the corresponding sides.
Therefore, AL : DM = 1 : 2
Given AB = 5 cm, BC = 4 cm, CA = 4.2 cm, DE = 10 cm, EF = 8 cm, and FD = 8.4 cm
We need to find AL : DM
Since, the ratio of corresponding sides of both triangles are same, both the triangles are similar.
Here, we use the result that in similar triangle the ratio of corresponding altitude is same as the ratio of the corresponding sides.
Therefore, AL : DM = 1 : 2
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