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1. In triangle ABC, angle A = 30 and angle B = 60 . Point X is on side AC such that line segment BX bisects angle ABC . If AB=12, then find the area of triangle BXA .

 

2. Find the area of triangle PQR if PQ = QR=12 and angle PQR = 120.

 

3. In the diagram below,\(\angle PQR = \angle PRQ = \angle STR = \angle TSR, RQ = 8\) ,RQ = 8 , and SQ = 2. Find PQ.

 

4. In triangle XYZ, angle X=60 and angle Y = 45 . The bisector of angle X intersects YZ at W. If XW = 24, then find the area of triangle XYZ.

 

 Jun 13, 2020
 #1
avatar+980 
+2

Which question do you need the help on most?

We aren't here to do all your AoPS question, but it's fine if you want to ask one.

 Jun 13, 2020
 #2
avatar+338 
+5

3 .

6


4.

216+72sqrt3

 Jun 13, 2020
edited by polyyou  Jul 12, 2020
 #3
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Stop trying to cheat on your homework.

 Jun 13, 2020
 #4
avatar+1130 
+1

3.
(16sqrt3)/3

Since triangle RQT is isosceles, we have\(ST = QT - QS = QR - QS = 8 - 2 = 6.\)

 

 

4.

216+72sqrt3

 Jun 14, 2020
 #5
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1. The area of triangle BXA is 18*sqrt(2).

 

2. The area of triangle PQR is 42*sqrt(3).

 Jun 14, 2020

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