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In the Given Figure, If ∠Ade = ∠Abc, Then Ce =(A) 2 (B) 5 (C) 9/2 (D) 3 - Mathematics

MCQ

In the given figure, if ∠ADE = ∠ABC, then CE =

Options

  • 2

  • 5

  • 9/2

  • 3

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Solution

Given: `∠ ADE = ∠ ABC`

To find: The value of CE

Since `∠ ADE = ∠ ABC`  

∴ DE || BC       (Two lines are parallel if the corresponding angles formed are equal)

According to basic proportionality theorem if a line is parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

In ∆ABC, DE || BC

`(AD)/(DB)=(AE)/(EC)`

`2/3=3/EC`

`EC=(3xx3)/2`

`EC =9/2`

Hence we got the result `C`

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 34 | Page 134
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