Question

Divide AB = 7.5 cm in the ratio 3:4 internally.​

Answer 1

Answer:

In the figure,

Step-1 Draw a line segment AB=7.5 cm

According to the question-

3x+4x=7.5 cm

x=1.07

Step-2 Mark 7 arcs of equal length of 1.07 cm

Hence,

AC=3×1.07⇒3.21cm

BC=4×1.07⇒4.28cm.

Hence, this is the answer.

Answer 2

Step-by-step explanation:

Steps of constmction:

1. Draw the line segment AB = 7 cm.

2. Draw ray BX making an acute ∠ABX.

3. Along BX. mark off five points B1, B2, B3, B4 and B5. Join B2 to A.

4. Through B5 draw B5P || B2A, intersecting BA produced at P.

5. The point P so obtained is the required point which divides AB externally in the ratio 3:5.

Proof:In △s ABB2 and PBB5,

B5P || B2A ⇒ ABB2 ~ PBB5