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Triangle ABC is a right triangle with angle BAC= 90 degrees and angle B > angle . Suppose AP is an altitude of the triangle, AQ is an angle bisector of the triangle, and AR is a median of the triangle, and angle PAQ = 13 degrees. If P is on BQ, then what is the measure of angle RAC?

 Nov 3, 2022
edited by Guest  Nov 3, 2022
 #3
avatar+118135 
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Please proofread your question.

Are we supposed to have a value for angle B ? 

 

Anyway, I draw it to scale and have convinced myself that the answer is 13 degrees.

You need to work out why of course

 

 Nov 3, 2022
 #4
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Hi melody, sorry but that's incorrect we are actually trying to find the measure of RAC, not RAQ.

Guest Nov 3, 2022
 #5
avatar+118135 
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okay.

You could have easily worked out the graphically solution from my first pic.  Did you think about it?

It always is a good idea to think before racing in.

45-13 = 32

 

 Nov 3, 2022
edited by Melody  Nov 3, 2022

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