Bader A.

asked • 09/28/18# Pre calculus question !!!

∠BAC = . Points P, Q on sides AB , AC such that the area of ΔAPQ is half of the area of ΔABC . For all points P, Q satisfying the above, the smallest possible value of PQ is :

## 1 Expert Answer

Victoria V. answered • 09/28/18

Math Teacher: 20 Yrs Teaching/Tutoring Calculus, PreCalc, Alg 2, Trig

Have you gotten either of my comments? As soon as I hit "SUBMIT" they disappear, and I really do not want to type it again, if you have already gotten it twice,... but here it is, again maybe. I tried many methods and finally put together an Excel spreadsheet with various values for the sides AP and AQ, constrained by the fact the the area of the smaller is 1/2 the area of the larger, which resulted in that (AP)(AQ)=45. It said that the smallest PQ is 7.50000086 So I would choose the answer 15/2

Bader A.

09/28/18

Victoria V.

09/28/18

Bader A.

09/29/18

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Victoria V.

09/28/18