Question

Draw a line segment of length 10 cm and divide it in the ratio 2 : 5. Write the

steps of construction.​

Answer 1

Answer:

Hi

Step-by-step explanation:

We follow the following steps of construction.

Steps of construction

STEP I Draw a line segment AB = 10 cm by using a ruler.

STEP II Draw a ray AX making an acute angle with AB.

STEP III Along AX, mark-off 5 (= 3 + 2) points A1, A2, A3, A4 and A5

STEP IV Join points B & A5 .

STEP V Through A3 draw a line A3P parallel to A5 B by drawing angle AA3P equals to angle

AA5B. A3P intersects AB at point P. Since, AA3 : A3A5 = 2:5 [from(1) & figure ] . Thus, AP : PB = 2:5 (due to symmetry )

Hence, point P divides AB internally in 3:2.

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Answer 2

Step-by-step explanation:

draw line segment of 10cm

then draw one more line from point A 2 + 5 = 7 so bisect it in 7 parts join A7 and B measure there angle on A2 draw angle with same measurement draw line through the arc