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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Construct an equilateral triangle, given its side and justify the construction
Solution:
An equilateral triangle has three equal sides and three angles equal to 60º each.
Steps of Construction:
- Draw a ray AB.
- With A as center and radius equal to 3 cm, draw an arc to cut ray AB at C such that AC = 3 cm
- With C as the center and radius equal to AC (3cm), draw an arc to intersect the initial arc at D.
- Join AD and DC.
- Triangle ADC is an equilateral triangle with sides of 3cm each.
Justification:
AC = AD (By construction since the radius of the arc is the same)
AC = CD (By construction since the same radius was used again)
Hence AC = AD = CD = 3cm
Thus, ADC is an equilateral triangle.
☛ Check: NCERT Solutions for Class 9 Maths Chapter 11
Video Solution:
Construct an equilateral triangle, given its side and justify the construction
Maths NCERT Solutions Class 9 Chapter 11 Exercise 11.1 Question 5
Summary:
It is given that we have to construct an equilateral triangle upon the given side. We have drawn the triangle using a compass and ruler and justified the construction.
☛ Related Questions:
- Construct an angle of 90° at the initial point of a given ray and justify the construction.
- Construct an angle of 45° at the initial point of a given ray and justify the construction.
- Construct the angles of the following measurements:(i) 30°(ii) 22(1/2)°(iii) 15°
- Construct the following angles and verify by measuring them by a protractor:(i) 75°(ii) 105°(iii) 135°