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Mathematics 19 Online
OpenStudy (anonymous):

will someone please help me!! Ive been needing to get this done asap! medals rewarded thanks:) find x a. 9 b. 9sqrt 2 c. 4.5 sqrt 2 d. 18sqrt 2

OpenStudy (anonymous):

OpenStudy (anonymous):

wouldnt the answer be c?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

Actually, it's b.

OpenStudy (anonymous):

Because of that 45 degree angle, the third side is going to be x also. so, x^2 + x^2 = 18^2. Solving for x will give 9 times sqrt(2)

OpenStudy (anonymous):

The third side is "x" because the third angle is 45 degrees and you will have an isosceles right triangle.

OpenStudy (anonymous):

This comes from the measure of all angles in a triangle add to 180. You were given 45 and 90, so the third is 45. And opposite sides of equal measure angles will be equal.

OpenStudy (anonymous):

making sense to you now?

OpenStudy (anonymous):

In case you are in a trigonometry course, you can get the same answer by considering that the cos 45 is [sqrt(2)]/2 cos 45 = [sqrt(2)]/2 = x/18

OpenStudy (anonymous):

To make this conceptually simpler, you can completely disregard the triangle on the left. Do you see now how we get "b"?

OpenStudy (anonymous):

yes omg thank you so uch! your a big life saver!

OpenStudy (anonymous):

uw!

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