Asked by jane

ABC is rightangled triangle. AD is the bisector of angle BAC. Angle DAC=15 degrees. X=CD. Find X. I know the answer is 7.1 but do not know how to do the actual sum. Can you please help

AB = 23 CM

Answers

Answered by Mgraph
If AD is bisector then angle BAC=30
AC=23*cos30=19.92
CD=AC*tan15=5.34
Answered by Reiny
Again, you did not state where the right angle is
http://www.jiskha.com/display.cgi?id=1304629205

It looks like Mgraph assumed it was C and got a different answer from yours

I will assume angle B = 90°
then
BC/23 = tan 30° ---> BC = 13.28
BD/23 = tan 15° ---> BD = 6.16

DC = BC - BD = 13.28-6.16 = 7.12

Can you see how critical it is to be precise and complete in the description of the problem??
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