Draw a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm. Construct a triangle similar to it and of scale factor 5/3

Solution:

Steps of Construction

1. Construct a line segment BC = 6cm

2. With S and C as centres, construct two arcs of radii 4 cm and 5 cm which intersect with each other at A.

3. Let us join BA and CA. ∆ABC is the required triangle.

4. From the point B, construct a ray BX downwards which makes an acute angle

5. Now mark 5 points B₁, B₂, B₃, B₄, B₅ on BX where

BB₁ = B₁B₂ = B₂B₃ = B₃B₄ = B₄B₅

6. Join B₃C and from the point B₅ construct B₅M || B₃C which intersects the extended line segment BC at M

7. From the point M construct MN || CA which intersects BA at N

8. Triangle NBM is the required triangle.

Therefore, ∆NBM is the required triangle.

✦ Try This: Draw a triangle ABC in which BC = 4 cm, CA = 5 cm and AB = 6 cm. Construct a triangle similar to it and of scale factor 7/5.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 11

NCERT Exemplar Class 10 Maths Exercise 10.3 Problem 3

Draw a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm. Construct a triangle similar to it and of scale factor 5/3

Summary:

A triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm is drawn. A triangle similar to it and of scale factor 5/3 is constructed

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