Question

Need help please try to explain and breakdown i will fan and medal

Carrie found a stone in the shape of a 30°–60°–90° triangle. The hypotenuse has a length of 5 cm.


What is the length of the shorter leg?

A.
2.5 cm

B.
2.9 cm

C.
3.5 cm

D.
10.0 cm

Answer 1

brb

Answer 2

ok :o

Answer 3

Well in ALL 30°–60°–90° triangles the ratio is \[1,2,\sqrt{3}\]

Answer 4

So the short leg should just be 5/2 cm or 2.5

Answer 5

This is helpful and also very interesting to look at:
http://www.mathopenref.com/triangle306090.html
You can drag and see an actual triangle change.

Answer 6

so tecnically im just adding the sides?

Answer 7

Not necessarily, the short leg will always be half of the hypotenuse (the longest), and the other leg will always be \[\sqrt{3}\]

Answer 8

Sorry i closed the question i have liek 2 more questions and ive been on this computer all day i really wunt a break haha

Answer 9

im sorry im just super duper bad at math and grammer ;/

Answer 10

So if the hypotenuse of a 30°–60°–90° triangle is 20, the short leg is half, which is?

Answer 11

30 right?