Given:angle 1 =angle 2
If AC = 3, BC = 5, and AB = 7, find AD:
2 5/8
4 1/5
4 3/8
11 2/3
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OpenStudy (anonymous):
OpenStudy (anonymous):
someone help please
OpenStudy (anonymous):
Try finding the angle measurement of 1 and 2.
OpenStudy (radar):
You could use the law of cosines, get <A and then <B, that would give you <C when subtrtacting them from 180 degrees, Angles 1 and 2 would then be 1/2 of angle C.
OpenStudy (anonymous):
i'm looking for AD
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OpenStudy (anonymous):
help me please @ranga
OpenStudy (nikato):
Do u know if any r right angles or if there r any more info?
OpenStudy (ranga):
The angle bisector divides the opposite side in the same ratio as the other two sides:
CA / CB = AD / DB = 3 / 5
5 * AD = 3 * DB
DB = 5 / 3 * AD
Also, AD + DB = AB = 7
Put DB = 5/3 * AD from the first equation into the second:
AD + 5/3 * AD = 7
AD( 1 + 5/3) = 7
AD * 8 / 3 = 7
AD = 7 * 3 / 8 = 21 / 8 = 2.625
OpenStudy (ranga):
What are the choices?
OpenStudy (anonymous):
a. 2 5/8
b. 4 1/5
c. 4 3/8
d. 11 2/3
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