Question

what is the length of the side of triangle which height is 2√3cm​

Answer 1

Answer:

The Answer is 6 cm

Step-by-step explanation:

Answer

Since , ΔABC is an equilateral triangle ,CD is the perpendicular bisector of AB

Now. According to pythagoras theorem ,

In△ACD

AC

2

=AD

2

+CD

2

⇒(2a)

2

=a

2

+(

3

)

2

⇒4a

2

−a

2

=3

⇒3a

2

=3

⇒a

2

=1

⇒a=

1

=1cm

Hence , the length of the side of an equilateral triangle is 2 cm.

Now, Perimeter of the triangle =(2+2+2)cm

=6cm

Hence perimeter of an equilateral triangle is 6 cm