Question

Find the length of the side and perimeter of an equilateral triangle whose height
is √3 cm
​

Answer 1

Answer:

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