Question

Answer 16 question and get point ​

Answer 1

Step-by-step explanation:

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Answer 2

Given:- An equilateral triangle with one of its altitude.

Let a be the side of the equilateral triangle.

∴BE=EC=

2

BC

=

2

a

To prove:- 4AE

2

=3a

2

In △ABE, by pythagoras theorem

AB

2

=AE

2

+BE

2

a

2

=AE

2

+(

2

a

)

2

⇒AE

2

=a

2

−

4

a

2

⇒AE

2

=

4

4a

2

−a

2

⇒AE

2

=

4

3a

2

⇒4AE

2

=3a

2

Hence proved that three times the square of one side is equal to four times the square of one of its altitudes.

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