Construction of Triangles When All Three Sides Are Given

Q. The triangle in which has two sides and two angles are equal, that triangle is known as _____.

1. Isosceles Triangle
2. Scalene Triangle
3. Equilateral Triangle
4. None of these.

Q. The lengths of three segments are given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
(1) 17 cm, 7 cm, 8 cm (2) 7 cm, 24 cm, 25 cm
(3) 9 cm, 6 cm, 16 cm (4) 8.4 cm, 16.4 cm, 4.9 cm
(5) 15 cm, 20 cm, 25 cm (6) 12 cm, 12 cm, 16 cm

Q.

Construct an equilateral triangle, given its side, and justify the construction.

Q. Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct $△ABC$?

1. $\angle ACB$ = ${60}^{\circ }$
2. AC = 4 cm
3. AD = 3 cm
4. None of the above

Q.

Using which of the following measurements, can a $△$ ABC be constructed ?

1. $\angle ={85}^{\circ },\angle B={115}^{\circ },BC=7cm$

2. $AB=7cm,BC=7cm,\angle C={95}^{\circ }$

3. $AB=4cm,BC=8cm,CA=5cm$

4. $AB=5cm,BC=5cm,\angle B={175}^{\circ }$

Q. in the diagram the dotted line and the black path form 7 equilateral triangle. The length of dotted line is 20cm What is the length of the black path in cm

Q. Can you construct triangle ABC with AB = 5 cm, ∠A = 80⁰ , ∠B = 120⁰?

1. May be
2. No
3. Poor Data
4. Yes

Q.

Using which of the following measurements, can a $△$ ABC be constructed ?

1. $\angle A={75}^{\circ },\angle B={60}^{\circ },BC=5cm$

2. $AB=5cm,BC=6cm,\angle ABC={60}^{\circ }$

3. AB = 4 cm, BC = 6cm, CA = 2 cm

4. $AB=5cm,BC=6cm,\angle ACB={60}^{\circ }$

Q. Two sides of a triangle are 10 cm each and the third side is 14.14 cm. Name the type of such a triangle.

1. Isosceles Triangle
2. Scalene Triangle
3. Equiateral Triangle
4. None of the above

Q.

Total number of parts of a triangle is

(a) 3
(b) 6
(c) 9
(d) 1

Q. What type of triangle is shown below?

1. Equilateral triangle
2. Scalene triangle
3. Isosceles triangle
4. Right triangle

Q. Which of the following step is not required to construct a $△ABC$, when AB = 7.6 cm, AC = 6 cm and CB = 4 cm.

1. Construct an angle ${90}^{\circ }$ at A.
2. Draw a rough sketch of the triangle. Draw one of the sides, say AB = 7.6 cm.
3. Using compass and taking A as centre, draw an arc of radius 6 cm.
4. With B as centre, draw an arc of radius 4 cm that cuts the first arc at point C. Join AC and BC.

Q.

In the figure, $AC=10$ cm, $PC=15$ cm, $PQ=12$ cm, find $PB.$

1. $6$ cm

2. $7$ cm

3. $8$ cm

4. $9$ cm

Q. Draw a median on the non congruent side of an isosceles triangle. Is it the altitude or an angle bisector too?
If true then enter $1$ and if false then enter $0$

Q.

In $△$ABC, ∠ABC = 90${}^{\circ }$, AB = BC = 5 cm. What is this triangle called?

1. Right angled triangle

2. Isosceles triangle

3. 90^o triangle

4. Right angled Isosceles triangle

Q.

If you have three sides, you can always draw a unique triangle.

1. True

2. False

Q.

Which among the following dimensions of three lines can possibly form a triangle?

1. True

2. False

3. 3 cm, 4 cm and 8 cm.
4. 3 cm, 4 cm and 6 cm

Q. If a triangle has two equal sides, then it is known as triangle.

1. a scalene
2. an isosceles
3. an equivalent
4. a right

Q.

Can an equilateral triangle also be isosceles?

Q.

In the following triangle, the measure of C.

1. 30^o

2. 55^o

3. 70^o

4. 60^o

Q. Two sides of a triangle are 10 cm each and the third side is 14.14 cm. Name the type of such a triangle.

1. Isosceles Triangle
2. Scalene Triangle
3. Equiateral Triangle
4. None of the above

Q. If exactly two sides of a triangle are equal, then it is called a/an _______.

1. scalene triangle
2. isosceles triangle
3. equilateral triangle
4. obtuse angled triangle

Q.

Construct $\Delta ABC$ with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of $\angle ABC$ ?

1. ${60}^{\circ }$

2. ${90}^{\circ }$

3. ${45}^{\circ }$

4. ${30}^{\circ }$

Q. Which of the following cannot be the length of the sides of a triangle?

1. 6 cm, 8 cm, 10 cm

2. 3 cm, 4 cm, 5 cm

3. 3 cm, 5 cm, 10 cm

4. 5 cm, 12 cm, 13 cm

Q.

Which of the following data is not sufficient to draw a unique triangle?

1. Side, Side, Angle

2. Side, Angle, Side

3. Angle, Angle, Angle

4. Angle, Angle, Side