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Worksheet on Construction of Triangles
In worksheet on construction of triangles we will solve 10 different types of questions.
1. Construct a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm.
2. Construct a triangle PQR in which PQ = 5.8 cm, QR = 6.5 cm, PR = 4.5 cm.
3. Construct a triangle LMN in which LM = LN = 5.5 cm, MN = 7 cm.
4. Construct a triangle STU in which ∠T = 60°, ∠U = 70° and TU = 7.5 cm.
5. Construct a right triangle ABC in which ∠C = 90° and ∠B = 45°, CB = 5 cm.
6. Construct a right triangle XYZ in which ∠Y = 90°, XY = 5 cm and YZ = 7 cm.
7. Construct an equilateral triangle in which AB = BC = CA = 6 cm. What is the measure of its each angle?
8. Draw a triangle when AB = 5 cm, ∠A = 40° and ∠B = 50°.
9. Construct a ∆ IJK whose sides are; IJ = 5 cm, JK= 5.5 cm and KI = 6 cm.
10. Construct a ∆ ABC in which AB = AC = 7.2 cm, BC = 9 cm.
To download the above worksheet Click Here.
11. Draw a triangle and write the measures of its sides and angles with their names.
12. Draw the triangles having the following sides.
(i) 2 cm, 3 cm, 4.5 cm
(ii) 4.5 cm, 6 cm, 4.5 cm
(iii) 5.3 cm, 2.3 cm, 6.4 cm
(iv) 3.5 cm, 3.5 cm, 3.5 cm
13. The lengths of three line segments AB, BC and AC are as follows.
(i) 2.4 cm, 3.4 cm, 5 cm
(ii) 2 cm, 3 cm, 4 cm
(iii) 3 cm, 2.5 cm, 4 cm
(iv) 4 cm, 5 cm, 8 cm.
(v) 5 cm, 2 cm, 3 cm
(vi) 5 cm, 4 cm, 10 cm.
In which of the above cases, you can construct a A ABC and in which you cannot and why?
14. Draw the following triangles.
(i) Isosceles ∆
(ii) Right angled ∆
(iii) Equilateral ∆
(iv) Obtuse angled ∆
(v) Acute angled ∆
(vi) Scalene ∆
16. Construct the following triangles.
(i) ∆ PQR: PQ = 6 cm, PR = 5 cm, QR = 4 cm
(ii) ∆ LMN: LM = 2 cm, MN = 2 cm, ∠LMN = 60°
(iii) ∆ EFG: EF = 6 cm, ∠EFG = 65° ∠GEF = 75°
(iv) ∆ TUV: TU = 4 cm, TV = 4 cm, UV = 6cm
17. Draw of a right angled triangle having one angle of 30° and base side 3 cm. Measure the remaining sides also.
Examples of Properties of Triangle
Worksheet on Properties of Triangle
To Construct a Triangle whose Three Sides are given.
To Construct a Triangle when Two of its Sides and the included Angles are given.
To Construct a Triangle when Two of its Angles and the included Side are given.
To Construct a Right Triangle when its Hypotenuse and One Side are given.
Worksheet on Construction of Triangles.
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