Question

The height of an equilateral triangle is 46 inches.


What is the approximate length s of the triangle's side?



A.
23 in.

B.
27 in.

C.
33 in.

D.
53 in.

http://static.k12.com/calms_media/media/1422500_1423000/1422770/1/c17cda514b29f4cb5bc5e25b7db7bb563341a448/MS_PA_131002_171219.jpg

Answer 1

@kingstevie

Answer 2

All the sides of an equilateral triangle are the same length. Let's take 53 for example. Since we know A^2+B^2=C^2, we have enough information to see if this length is accurate. So the hypotenuse, C=53. And A, is half, 26.5, Because it is the height cuts half of that one side. So 53^2-26.5^2= 2106.75. The sqrt of 2106.75 is 45.89, which will round to 46. So D is your answer. (Sorry I'm a bit bad at explaining)

Answer 3

Thanks! And you're not bad at explaining. :)

Answer 4

You're welcome and thx :)