Question

find the length of the side and perimeter of an equilateral triangle whose height is root 3 cm.​

Answer 1

Answer:

6 cm

Explanation:

=>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

Answer 2

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