In the construction to divide AB in ratio 2 : 5, after marking A1..A7 on ray AX and joining A7 to B, a line through A2 parallel to A7B meets AB at P. Which similarity gives AP : PB = 2 : 5?

Question

Accepted Answer

Triangle AA2P similar to triangle AA7B. Since A2P is parallel to A7B, triangles AA2P and AA7B are similar, giving AP/AB = AA2/AA7 = 2/7, hence AP : PB = 2 : 5.

In the construction to divide AB in ratio 2 : 5, after marking A1..A7 on ray AX and joining A7 to B, a line through A2 parallel to A7B meets AB at P.
Which similarity gives AP : PB = 2 : 5?

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More Class 10 Division of a Line Segment practice

In the construction to divide AB in ratio 2 : 5, after marking A1..A7 on ray AX and joining A7 to B, a line through A2 parallel to A7B meets AB at P.Which similarity gives AP : PB = 2 : 5?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Division of a Line Segment practice

In the construction to divide AB in ratio 2 : 5, after marking A1..A7 on ray AX and joining A7 to B, a line through A2 parallel to A7B meets AB at P.
Which similarity gives AP : PB = 2 : 5?