Question

1. The area of an equilateral triangle whose side is a cm is √3/4 a^2 cm^2 Find its height
lar plot of land is twice its breadth If the perimeter of the plot be 18​

Answer 1

Answer:

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

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