SOLUTION: given triangle GHI and side g = 6; side h = 2. find the measurement of angle G if I is a right andle.

Algebra ->  Angles -> SOLUTION: given triangle GHI and side g = 6; side h = 2. find the measurement of angle G if I is a right andle.      Log On


   

Question 451378: given triangle GHI and side g = 6; side h = 2. find the measurement of angle G if I is a right andle.
Found 2 solutions by 223132, Fombitz:
Answer by 223132(1) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g=6
h=2
Since it's a right triangle, use the Pythagorean theorem.
Since i side is opposite the right angle, it is the hypotenuse.
i%5E2=g%5E2%2Bh%5E2
i%5E2=6%5E2%2B2%5E2
i%5E2=36%2B4
i%5E2=40
i=sqrt%2840%29
i=2sqrt%2810%29
.
.
.
sin%28G%29=OPP%2FHYP=g%2Fi
sin%28G%29=6%2F%282sqrt%2810%29%29
sin%28G%29=%283%2F10%29sqrt%2810%29
G=71.6 degrees