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If the hypotenuse of a 30-60-90 triangle is 4√3, how do i got about to figure out the length of the 2 legs? Help please

2007-08-26 12:39:12 · 3 answers · asked by jumba 1 in Science & Mathematics Mathematics

3 answers

sin 60° = √3 / 2
sin 60° = y / 4√3
y / 4√3 = √3 / 2
y = 12 / 2
y = 6

cos 60° = 1/2
cos 60° = x / 4√3
x / 4√3 = 1/2
x = (4√3) / 2
x = 2√3

Legs are 2√3 and 6

2007-08-30 10:52:18 · answer #1 · answered by Como 7 · 0 0

4sqrt3 *sqrt3/2

= 2*3 = 6

4sqrt3 *1/2
=2sqrt 3

or 4 sqrt 3 * sin 30 and 4 sqrt 3 * sin 60

or 4 sqrt 3 * cos 30 and 4 sqrt 3 * cos 60

or 4 sqrt 3 * sin 30 and 4 sqrt 3 * cos 30

2007-08-26 19:46:05 · answer #2 · answered by dbondocoy@yahoo.com 3 · 1 0

The short leg is 2 roots of 3 and the long leg is 6

The short leg is half of the hypotenuse
The long leg is root3 times the short one.

2007-08-26 19:45:28 · answer #3 · answered by alwaysmoose 7 · 0 0

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