A square ABCD and PQ are the midpoints of BC and CD. If AP=a and AQ=b .find in terms of a and b the directed line segment AB
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Expert's answer
2022-03-04T05:41:10-0500
The square is presented on the picture:
Denote by x the length of the side of the square. a=∣AP∣=∣AB∣2+∣BP∣2=x2+41x2=x25. b=∣AQ∣=x25 . Thus, we received that a=b=x25. Thus, we get: x=52a5=52b5. The length of AB is 52a5=52b5
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