Math, asked by patwa0088, 2 months ago

if ad equals to 8 cm ab equal to 12 cm and ae equal to 12 cm find CE ​

Answers

Answered by Anonymous
37

Given:

✰ AD = 8 cm

✰ AB = 12 cm

✰ AE = 12 cm

To find:

✠ CE.

Solution:

Construction:

In ∆ABC,

D is the point on side AB

E is the point on side AC

DE || BC

As we know that D is the point on side AB, so if we substract AD from AB, we will easily get side BD, so

➛ BD = AB - AD

➛ BD = 12 - 8

➛ BD = 4 cm

The basic proportionality theorem states that the line drawn parallel to one side of a triangle, intersecting the other two sides of a triangle, divides the other two sides in same proportion or in same ratio.

By Thales theorem i.e, by basic proportionality theorem, we have:

➤ AD/DB = AE/CE

➤ 8/4 = 12/CE

➤ 2 = 12/CE

➤ 2CE = 12

➤ CE = 12/2

➤ CE = 6 cm

Therefore, the value of side CE = 6 cm

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Attachments:
Answered by harshithapatlolla987
0

Answer:

BD = DB

BD = AB - AD

= 12 - 8

= 4cm

Therefore DB = 4cm

AD / DB = AE / CE

8 / 4 = 12 / CE

2 = 12 / CE

2CE = 12

CE = 12 / 2

CE = 6cm

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