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# I neep help urgently

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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
+980
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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
+338
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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
+1130
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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