Question

3. Find the perimeter and area of an equilateral A. The height of an equilateral triangle is 4√3 cm. Find its area correct to three decimal places. (Take √ √3 = 1.732)​

Answer 1

Answer:

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refer the reference diagram uploaded above

Step-by-step explanation:

so here triangle abc is an equilateral triangle

so thus angle a=angle b=angle c=60

as measure of all angles of an equilateral triangle are of 60 degree each

moreover as all sides of an equilateral triangle are equal

ab=bc=ac

now here ad is height of triangle abc

thus considering triangle abd

angle b=60

angle d=90

thus angle a=30 (remaining angle)

so thus triangle abd is a 30-60-90 degree triangle

so thus ad=root 3/2×ab (side opp.to 60)

so thus here ad=4 root 3

so 4root 3=root 3/2×ab

ie ab=4×2

=8cm

so thus then each side is 8cm

so we know that perimeter of an equilateral triangle is 3×side

=3×8

=24cm

also area of equilateral triangle=root 3/4×side square

=root 3/4×8×8

=root 3×2×8

=16root 3

so as root 3=1.73

=1.73×16

=27.68 cm.square

Answer 2

Answer:

ok tell what happened I will help you out