Math, asked by asing8840, 2 days ago

ABC is equilateral triangle. C is the mid-point of DE AD is perpen to AC and BE is perpendicular to BC. Prove that ADAC = AEBC​

Answers

Answered by ameenaptb123
0

Answer:

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Step-by-step explanation:

Solution

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The given Traingle is a Equilateral triangle , hence all Sides are Equal

AB=BC=AC=10 cm

We have, THEOREM : Any line drawn perpendicular to the opposite side is an equilateral triangle bisects the opposite side.

∴BD=

2

1

×BC

=

2

1

×10=5 cm

Hence According to the Pythagoras Theorem

AB

2

=AD

2

+BD

2

10

2

=AD

2

+5

2

AD

2

=100−25=75

AD=5

3

The length of AD=5

3

=5(1.73205081)=8.66025405

Correcting to 1 decimal place,

Hence your answer : The length of AD=8.6

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