Question

The length of perpendicular bisector of an equilateral triangle is 6cm it’s side is (a) 3√2 (b) 4√3 cm (c) 3√5 (d) None of these​

Answer 1

Answer:

Answer

REF.Image

Given

side of an equilateral triangle

ABC=3

3

cm

AB=BC−AC=3

3

cm

Let AD=h (altitude)

BD=

2

1

B (Altitude bisect the base)

BD=

2

1

.3

3

=3

3

/2 cm

AB

2

=AD

2

+BD

2

(3

3

)

2

=(h)

2

+(3

3

/2)

2

⇒27=h

2

+27/4

⇒h

2

=27−27/4

⇒h

2

=(4.27−27)/4

⇒h

2

=108−27/4

⇒h

2

=81/7

⇒h=

81/4

⇒h=9/2

⇒h=4.5cm

Hence, the length of the altitude h is 4.5 cm

Answer 2

answer in attachment

hope it helps you