math homework help!

[Holofoil]

a) Equilateral triangles always have 60° angles.
b) You don't even need trig for that, it's pythagoras:

If you halve the triangle, you have two right angled triangles. Then you have 3 as the hypotenuse, 1.5, and h.
h² + 1.5² = 3²
h² = 3² - 1.5²
h² = 9 - 2.25
h² = 6.75
h = √6.75
h = 2.5980762113533159402911695122588

Unless they actually want you to use trig anyway - if that's the case:



You know the hypotenuse, adjacent, and you want the poosite angle, so SOH CAH TOA - Use the sin function.
sin60° = Opposite/Hypotenuse
sin60° = Opposite/3
sin60° x 3 = Opposite
0.866025403 x 3 = Opposite
Opposite = 2.5980762113533159402911695122588
h = 2.5980762113533159402911695122588

Remember, you don't need trig for a right angled triangle if you know 2 of the sides.

Several of you are describing the pythagoras theorem as trig... THey're not the same.

[nnader]

umm, dont meen to sound rude but trig uses sine, cosine and tangent. the one using squared is pythag theorm. just a pointer