Find the length of side and perimeter of an equilateral triangle whose height is root 3 cm
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Let ∆ ABC is equilateral triangle.
Seg AD is median.
Therefore in ∆ ABC,
Angle A=30 (as AD is median)
Angle B=90(as AD is median)
Angle C=60(as ∆ABC is equilateral triangle)
Therefore by 30-60-90 theorem.
AD=✓3/2 ×AC
✓3 = ✓3/2 × AC
✓3×2/✓3 = AC
Therefore 2cm = AC
it is equilateral triangle
Therefore perimeter=3×side
=3×2cm
= 6cm
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