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Construction of Triangles

    Introduction

    Construction of a triangle when measurements of the three are given (SSS)

    Construction of a triangle with two given sides and icluded angle (S.A.S)

    Construction of a triangle when two angles and the side between the angles (A.S.A)

    Exercise 9.1

    Exercise 9.2

    Exercise 9.3

    Exercise 9.4

    Exercise 9.5

    Looking Back

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Construction of Triangles > Exercise 9.1

Exercise 9.1

1. Construct Δ ABC on which AB = 5.5 cm, BC = 6.5 cm and CA = 7.5 cm.

Solution:

2. Construct Δ NIB in which NI = 5.6 cm, IB = 6 cm and BN = 6 cm. What type of triangle is this?

Solution:

3. Construct an equilateral Δ APE with side 6.5 cm.

Solution:

4. Construct a Δ XYZ in which XY = 6 cm, YZ = 8 cm and ZX = 10 cm. Using protractor find the angle at X. What type of triangle is this?

Solution:

5. Construct Δ ABC in which AB = 4 cm, BC = 7 cm and CA = 3 cm. Which type of triangle is this?

Solution:

6. Construct Δ PEN with PE = 4 cm, EN = 5 cm and NP = 3 cm. If you draw circles instead of arcs how many points of intersection do you get? How many triangles with given measurements are possible? Is this true in case of every triangle?

Solution: