Question

.The vertices of a tringleABC are A (5,5), B(1,5)
and c(0,1) A line is drawn to intersect sides
AB and Ac at p and q respectively, such that
AP/AB = AC/AC = 3/4 find the length of the segment
pq.​

Answer 1

Answer:

ANSWER

We have,ABAP=ACAQ=43

⇒AP+PBAP=AQ+QCAQ=43

⇒AP+PBAP=43,AQ+QCAQ=43

⇒4AP=3AP+3PBand4AQ=3AQ+3QC

⇒AP=3PBandAQ=3QC

⇒PBAP=13andQCAQ=13

⇒PandQdivideABandACrespectivelyinthesamerat