Question

Find the length of a median of an equilateral triangle having sides of length 2.

a) square root of 3
b) square root of 3/2
c) square root of 3/4
d) 3

Answer 1

The median bisects(divides the side into two). Now, the median will make a 90 degree angle and will form two 30-60-90 triangles.



So, 2 will be 2x and the hypotenuse.
1 = x

So, median would be \(1 \sqrt{3}\) = \(\sqrt{3}\)

Answer 2

a) is the answer.

Answer 3

a median in an equilateral triangle actually intersects the oppotite side at right angles..so you have a right triangle with sides 2,1,and x..you can easily solve for x now..

Answer 4

median = height
angle in a equi. triangle =60
use tan.
tan60 = x / (2/2)
x = tan60 =?

Answer 5

opposite*

Answer 6

The ratio of a 30-60-90 triangle is 2x(hypotenuse), x(base), xsqrt3(perpendicular)

Answer 7

I never answered better lol ;)