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प्रश्न
In the following figure, DE || BC. Find the length of side AD, given that AE = 1.8 cm, BD = 7.2 cm and CE = 5.4 cm.
योग
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उत्तर
Given:
In triangle ABC, DE || BC.
AE = 1.8 cm, BD = 7.2 cm, CE = 5.4 cm.
Step-wise calculation:
1. By the Basic Proportionality (Thales) Theorem, since DE || BC, the segments on the other two sides are proportional:
`(AD)/(DB) = (AE)/(EC)`
2. Compute the ratio `(AE)/(EC) = 1.8/5.4`
= `1/3`
3. Therefore `AD = (AE)/(EC) xx DB`
= `1/3 xx 7.2` cm
= 2.4 cm
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