# Construction of Triangle 1

## Trending Questions

**Q.**

To construct a triangle ABC in which BC = 5 cm and ∠B=60∘ and AB + AC = 8 cm. What is the length of BD used in the construction?

- 10 cm
- 7 cm
- 20 cm
- 8 cm

**Q.**How to construct incircle of triangle.

**Q.**To construct a triangle, given its base, a base angle and the sum of the other two sides, the property of a/an _________ triangle is used.

- equilateral
- scalene
- right-angled
- Isosceles

**Q.**A right angled triangle ABC is constructed with BC = 3 cm and AB + AC = 9 cm. If B is the right angled, then find the length of AC (in cm).

- 5

**Q.**To construct a triangle, the sum of any two sides must be _______ than the third side.

- greater
- equal
- smaller
- lesser

**Q.**To construct a triangle ABC in which BC = 5 cm and ∠B=60∘ and AB + AC = 8 cm. What is the length of BD used in the construction?

- 8

**Q.**Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

**Q.**Construct a right triangle whose base is 12 cm and sum of its hypotenuse and the third side is 18 cm. Find the length of the hypotenuse.

- 5 cm
- 12 cm
- 13 cm
- 20 cm

**Q.**

To construct a triangle, given its base, a base angle and sum of other two sides, the first step is to draw the base side and one given angle.

False

True

**Q.**

The midpoints D and E of the sides AB and AC of an equilateral triangle are joined together to form a line segment DE. If AD = 4cm, then find DE.

2

6

4

8

**Q.**

Construct a triangle ABC in which BC is 3.5 cm, Angle B is 75∘ and AB+AC=6.5cm [4 MARKS]

**Q.**

Construct a triangle ABC in which BC is 6 cm, ∠B is 70∘ and AB+AC=14cm by using method of perpendicular bisector. [4 Marks]

**Q.**

To construct a triangle by the method of Triangle Construction 2, the concept of an isoceles triangle is used. What method/step is used to create isoceles triangle during the construction? (2 words)

**Q.**To construct a triangle, given its base, base angle and sum of 2 sides, ___ are perpendicular bisectors drawn.

- one
- two
- three
- None of the above

**Q.**

**Question 5**

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

**Q.**

**Question 12**

Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

**Q.**

If a triangle in which AB = 4 cm, ∠CAB = 450 and BC = 2.92 cm is constructed then the side length of AC is:

2.54 cm

3.54 cm

4.54 cm

4.1 cm

**Q.**To construct a triangle, the sum of any two sides must be _______ than the third side.

- lesser
- greater
- equal
- smaller

**Q.**Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

**Q.**

The construction shown below accurately represents the formation of an equilateral triangle when the three sides are given.

True

False

**Q.**

In the figure, CM is the perpendicular bisector of BD and ∠ACB=47∘. Value of ∠BCM is

- 66.5

**Q.**A right angled triangle ABC is constructed with BC = 3 cm and AB + AC = 9 cm. If B is the right angled, then find the length of AC (in cm).

- 5

**Q.**To construct a triangle ABC in which BC = 5 cm and ∠B=60∘ and AB + AC = 8 cm. What is the length of BD used in the construction?

- 8

**Q.**Draw any right angled triangle. Draw perpendicular bisectors of its perpendicular sides and name their point of intersection as P.

**Q.**To construct a triangle ABC in which BC = 5 cm and ∠B=60∘ and AB + AC = 8 cm. What is the length of BD used in the construction?

- 8

**Q.**

In the figure, if AM is the perpendicular bisector of CD,

- BD
- DM
- BM
- AD

**Q.**Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

**Q.**We can draw a triangle ABC in which BC is 12cm, ∠B is 75∘ and AB + AC = 6.5 cm.

- True
- False
- Data insufficient
- Cannot be determined

**Q.**In the figure DE∥BC. Find AD.

- 2.4 cm
- 3.4 cm
- 3.6 cm
- 2.6 cm

**Q.**

To construct a triangle ABC in which BC = 5 cm and ∠B=60∘ and AB + AC = 8 cm. What is the length of BD used in the construction?

- 8 cm
- 10 cm
- 7 cm
- 20 cm