Construct ∆ABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm.

Solution:

We use the basic rules of construction to solve the question given. We will use scale and compass to do the construction required.

We can draw a rough sketch of ΔABC with the given measure for reference. This will help us in deciding how to proceed. Then follow the steps given below.

Steps of construction :

1. Draw a line segment  AB of length 5.8 cm.
2. At A, draw ray AY making 60° with AB.
3. At B, draw ray BX making 30° with AB.
4. Rays BX and AY will intersect at point C.
5. Triangle ABC is now constructed.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 10

Video Solution:

Construct ∆ABC, given m∠A = 60°, m∠B = 30° and AB = 5.8 cm

Class 7 Maths NCERT Solutions Chapter 10 Exercise 10.4 Question 1

Summary:

∆ABC is constructed with m∠A = 60°, m∠B = 30° and AB = 5.8 cm.

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