Question

In the diagram, BC⎯⎯⎯⎯⎯∥DE⎯⎯⎯⎯⎯ .

What is CE ?


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Answer 1

Answer : The value of CE is, 15 m

Step-by-step explanation :

According to the theorem, if a line is parallel to one side of a triangle and intersect to the other sides of triangle then it divides those sides proportionally.

That means,

`(AD)/(AB)=(AE)/(AC)`

or,

`(AD)/(AD+BD)=(AE)/(AE+CE)`

Given:

Side AD = 2 m

Side BD = 10 m

Side AE = 3 m

Now put all the given values in the above formula, we get the value of CE.

`(AD)/(AD+BD)=(AE)/(AE+CE)`

`(2m)/(2m+10m)=(3m)/(3m+CE)`

`(2m)/(12m)=(3m)/(3m+CE)`

CE = 15 m

Therefore, the value of CE is, 15 m

Answer 2

Good evening ,

Answer:

CE=12

Explanation:

Using Thales theorem:

AE/AC = AD/AB

⇌ 3/AC = 2/10

⇌ AC = (3×10)/2 = 15

since CE=AC-AE then CE=15-3=12.

:)