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In the Given Figure, De || Bc in ∆Abc Such that Bc = 8 Cm, Ab = 6 Cm and Da = 1.5 Cm. Find De. - Mathematics

Sum

In the given figure, DE || BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.

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Solution

Given: In ∆ABC, DE || BC. BC = 8 cm, AB = 6 cm and DA = 1.5 cm.

To find: DE

In ∆ABC and ∆ADE

\[\angle B = \angle ADE \left( \text{Corresponding angles} \right)\]
\[\angle A = \angle A \left( \text{Common} \right)\]
\[ \therefore ∆ ABC~ ∆ ADE \left( \text{AA Similarity} \right)\]

so,

`(BC)/(DE)=(AB)/(DA)`

`8/(DE)=6/1.5`

`DE= (8xx1.5)/6`

`DE= 2cm`

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 20 | Page 130
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