Question 12 Marks
Draw a line segment of length 8 cm and divide it internally in the ratio $4: 5$.
Answer
View full question & answer→The steps to divide a line segment of length 8 cm in the ratio of $4: 5$ are as follows:
Step 1: Draw a line segment $A B$ of 8 cm and draw a ray from $A$ making an acute angle with line segment $A B$.
Step 2: Make 9 points, $A_1, A_2, A_3, A_4, \ldots ., A_9$ on AQ such that $A A_1=A_1 A_2=A_2 A_3=A_3 A_4 \ldots \ldots . . A_8 A_9$
Step 3: Join $B A_9$.
Step 4: Through the point, draw a line parallel to $B A_9$ by making an angle equal to $\angle A A_9 B$ at $A_4$ intersecting $A B$ at point $P$.P is the point dividing line segment $A B$ in the ratio of 4:5.
Step 1: Draw a line segment $A B$ of 8 cm and draw a ray from $A$ making an acute angle with line segment $A B$.
Step 2: Make 9 points, $A_1, A_2, A_3, A_4, \ldots ., A_9$ on AQ such that $A A_1=A_1 A_2=A_2 A_3=A_3 A_4 \ldots \ldots . . A_8 A_9$
Step 3: Join $B A_9$.
Step 4: Through the point, draw a line parallel to $B A_9$ by making an angle equal to $\angle A A_9 B$ at $A_4$ intersecting $A B$ at point $P$.P is the point dividing line segment $A B$ in the ratio of 4:5.