Question

ALMN is an equilateral triangle. Find side
of triangle if height LD is 2v3 cm.​

Answer 1

Answer:

REF.Image

Given

side of an equilateral triangle

ABC=33cm

AB=BC−AC=33cm

Let AD=h (altitude)

BD=21B (Altitude bisect the base)

BD=21.33=33/2 cm

AB2=AD2+BD2

(33)2=(h)2+(33/2)2

⇒27=h2+27/4

⇒h2=27−27/4

⇒h2=(4.27−27)/4

⇒h2=108−27/4

⇒h2=81/7

⇒h=81/4

⇒h=9/2

⇒h=4.5cm

Hence, the length of the altitude h is 4.5 cm