Question 1Two line segments AB and AC include an angle of 60∘, where AB = 5 cm and AC = 7 cm. Locate points P and Q on AB and AC, respectively such that AP=34AB and AQ=14AC .Join P and Q measure the length PQ.Thinking Process(i) Firstly we find the ratio of AB in which P divides, it with the help of the relation AP=34AB(ii) Secondly, we find the ratio of AC in which Q divides. It with the help of the relation AQ=14AC. (iii) Now, construct the line segment AB and AC in which P and Q respectively divide it in the ratio from step (i) and (ii) respectively.(iv) Finally get the point P and Q. After that join PQ and get the required measurement of PQ.

Question 1Two line segments AB and AC include an angle of 60∘, where

1.	Question 1Two line segments AB and AC include an angle of 60∘, where AB = 5 cm and AC = 7 cm. Locate points P and Q on AB and AC, respectively such that AP=34AB and AQ=14AC .Join P and Q measure the length PQ.Thinking Process(i) Firstly we find the ratio of AB in which P divides, it with the help of the relation AP=34AB(ii) Secondly, we find the ratio of AC in which Q divides. It with the help of the relation AQ=14AC. (iii) Now, construct the line segment AB and AC in which P and Q respectively divide it in the ratio from step (i) and (ii) respectively.(iv) Finally get the point P and Q. After that join PQ and get the required measurement of PQ.
Answer» Question 1 Two line segments AB and AC include an angle of $60^{\circ}$ , where AB = 5 cm and AC = 7 cm. Locate points P and Q on AB and AC, respectively such that $A P = \frac{3}{4} A B$ and $A Q = \frac{1}{4} A C$ .Join P and Q measure the length PQ. Thinking Process (i) Firstly we find the ratio of AB in which P divides, it with the help of the relation $A P = \frac{3}{4} A B$ (ii) Secondly, we find the ratio of AC in which Q divides. It with the help of the relation $A Q = \frac{1}{4} A C$ . (iii) Now, construct the line segment AB and AC in which P and Q respectively divide it in the ratio from step (i) and (ii) respectively. (iv) Finally get the point P and Q. After that join PQ and get the required measurement of PQ.