Question

draw a line segment pq of length 5.8cm and devide it in the ratio of 5:3 measure each of two part​

Answer 1

Answer:

Step 1 . Draw a line segment AB = 6.5 cm.

Step 2. Draw a ray AX, making an acute angle ∠BAX.

Step 3. Along AX, mark (4+7) =11 points A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, such that

AA1 = A1A2 = A2A3 = A3A4 = A4A5 = A5A6 = A6A7 = A7A8 = A8A9 = A9A10 = A10A11

Step 4. Join A11B.

Step 5. From A4, draw A4C ∥A11B, meeting AB at C.

Thus, C is the point on AB, which divides it in the ratio 4:7.

Thus, AC : CB = 4:7

From the figure, AC = 2.36 cm

CB = 4.14 cm

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Question 2:

Draw a line segment PQ of length 5.8 cm and divide it in the ratio 5 : 3. Measure each part.

ANSWER:

Steps of Construction :

Step 1 . Draw a line segment PQ = 5.8 cm.

Step 2. Draw a ray PX, making an acute angle ∠QPX .

Step 3. Along PX, mark (5+3) =8 points A1, A2, A3, A4, A5, A6, A7 and A8 , such that

PA1 = A1A2 = A2A3 = A3A4 = A4A5 = A5A6 = A6A7 = A7A8

Step 4. Join A8Q.

Step 5. From A5, draw A5C ∥ A8Q, meeting PQ at C.

Thus, C is the point on PQ, which divides it in the ratio 5:3.

Thus, PC : CQ = 5:3

From the figure, PC = 3.6 cm

CQ = 2.2 cm

Answer 2

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