Question

∆ABC is a equilateral triangle with each side length 2P if AD BC then value of AD is

​

Answer 1

Correct option is

C

3CD

2

Given, equilateral triangle ABC, AD⊥BC

Since, it is an equilaateral triangle, the perpendicualr also bisects the side.

Hence, BD=DC or BD=

2

1

BC=

2

1

AB

Now, In △ABD, we have

AB

2

=AD

2

+BD

2

⇒AB

2

−BD

2

=AD

2

⇒BC

2

−BD

2

=AD

2

⇒(2CD)

2

−CD

2

=AD

2

⇒3CD

2

=AD

2

Answer 2

Explanation:

Question:-ABC is a equilateral triangle with each side length 2P if AD BC then value of AD is?

Answer:-

__________

You can use the pythagoras theorem to find this out

Pythagoras theorem says a²+b²=c² so,

• a²+b²=c²
• x²+1²=2²
• x²=2²-1²
• x²=4-1
• x²=3p

I have taken triangle ADB, so considering AD as a bisector BC becomes the Half that is BD which we want for the traingle. I used the pythagoras theorem and just transposed the values, to get the desired answer

hope this helps you ☺️