Question

Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. A perpendicular bisector is drawn from point N to point R on side M O splitting side M O into 2 equal parts. What is the height of the triangle? 12 units 24 units 36 units 72 units

Answer 1

Answer:

length of height = 24 units

Explanation:

Since, the triangle is an equilateral triangle , the length of height will be equal to the length of perpendicular bisector that will be equal to the length of median

if the side of triangle is a then the length of altitude(height) is given by

$H= \frac{\sqrt{3} }{2}\times a$

here a= $16\sqrt{3}$

now put value of a in above formula

$H= \frac{\sqrt{3} }{2}\times 16sqrt{3}$

H= 24 units

hence b is correct