Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Constructions

Short Answer Type

21. Construct an equilateral triangle of side 6.6 cm. Label its vertices as A, B and C. From point C draw a median CF.

128 Views

22. Construct a ∆ABC with ∠A = 75°, ∠B = 30° and AB = 5.6 cm. Measure ∠C.

96 Views

23. Construct a triangle of sides 3 cm, 3.5 cm and 5 cm. Bisect the smallest angle of the triangle.

[Hint: The angle opposite to the side 3 cm is the smallest angle.]

112 Views

24. Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.

4253 Views

25. Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB – AC = 3.5 cm.

4495 Views

26.

Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm.

2296 Views

27.

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.

2518 Views

28. Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

Given: In right ∆ABC, base BC = 12 cm, ∠B = 90° and AB + AC = 18 cm.
Required: To construct the right triangle ABC.
Steps of Construction:
1. Draw the base BC = 12 cm.
2. At the point B, make an ∠XBC = 90°.
3. Cut a line segment BD = AB + AC (= 18 cm) from the ray BX.
4. Join DC.
5. Draw the perpendicular bisector PQ of CD to intersect BD at a point A.

Given: In right ∆ABC, base BC = 12 cm, ∠B = 90° and AB + AC = 18

6. Join AC.
Then, ABC is the required right triangle.

2735 Views

29. Construct a triangle ABC in which ∠B = 60°, ∠C = 45° and AB + BC + CA = 11 cm.

474 Views

30.

Construct a triangle ABC in which BC = 4.6 cm, ∠B = 45° and AB + AC = 8.2 cm.

255 Views