Construction of Triangle Given 3 Sides

Q. A triangle can be drawn if the sum of the lengths of any two sides is the third side.

1. less than
2. greater than
3. equal to

Q.

A triangle of sides 9 cm, 5 cm and 4 cm can be constructed.

1. False

2. True

Q.

Why is it not possible to construct a triangle with sides 3 cm, 4 cm and 8 cm?

Q.

Construct the triangle ABC, in which AB = 5.5 cm, ∠A = 45°, ∠B = 85°. Measure the sides AC and BC.

Q.

Construct $△\mathrm{ABC}$ having given $\mathrm{AB}=4.8\mathrm{cm}$, $\mathrm{BC}=5.2\mathrm{cm}$, and $\angle \mathrm{B}=40$, How many triangles are possible with common base BC?

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

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

Q.

A triangle of sides AB = 5 cm, BC = 4 cm and AC = 3 cm is constructed. Then $△$ABC is

1. an acute isosceles triangle

2. a right scalene triangle

3. an obtuse scalene triangle

4. an acute scalene triangle

Q.

A triangle of sides AB = 6 cm, BC = 3 cm and AC = 4 cm is constructed. Then the measure of angle A is

1. 26${}^{\circ }$

2. 36${}^{\circ }$

3. 42${}^{\circ }$

4. 46${}^{\circ }$

Q.

A triangle of sides YZ = 7 cm, XZ = 3.5 cm and XY = 5 cm is constructed. Then the measure of angle Y is

1. 28${}^{\circ }$

2. 32${}^{\circ }$

3. 36${}^{\circ }$

4. 38${}^{\circ }$

Q.

A triangle of sides EF = 2.5 cm, DF = 2 cm and DE = 4 cm is constructed. Then measure of angle F

1. is 90${}^{\circ }$

2. lies between 90${}^{\circ }$ and 150${}^{\circ }$

3. is greater than or equal to 150${}^{\circ }$

4. less than 90${}^{\circ }$

Q.

$△$ABC is constructed such that AB = 6 cm, BC = 4 cm and AC = 4 cm. Taking side AB as base, another triangle ABD is constructed such that the length of side BD is 3 cm and length of side AD is 5 cm, as shown below. Then $\angle$ACB + $\angle$ADB equals

1. 191${}^{\circ }$

2. 180${}^{\circ }$

3. 172${}^{\circ }$

4. 184${}^{\circ }$

Q.

A triangle of sides AB = 9.5 cm, BC = 4.3 cm and AC = 6.2 cm is constructed. Then $△$ABC is

1. an obtuse isosceles triangle

2. an obtuse scalene triangle

3. a right scalene triangle

4. an acute isosceles triangle

Q.

A triangle of sides of length 6 cm, 7 cm and 7 cm is constructed. Then the measure of the angle opposite to the side of length 6 cm is

1. 38${}^{\circ }$

2. 51${}^{\circ }$

3. 64${}^{\circ }$

4. 27${}^{\circ }$

Q.

Written:

Construct a triangle PQR, in which PQ = 6.7 cm, QR = PR = 5.4 cm.

Q.

A triangle of sides AB = 2 cm, BC = 1.5 cm and AC = 1 cm is constructed. Then the measure of the angle A

1. lies between 10${}^{\circ }$ and 20${}^{\circ }$

2. lies between 20${}^{\circ }$ and 30${}^{\circ }$

3. lies between 30${}^{\circ }$ and 40${}^{\circ }$

4. lies between 40${}^{\circ }$ and 50${}^{\circ }$

Q. Check if a triangle with sides 5 cm, 19 cm and 20 cm can be constructed. [2 MARKS]

Q.

A triangle of sides 9 cm, 5 cm and 4 cm can be constructed.

1. False

2. True

Q.

$△$ABC is constructed such that AB = 6 cm, BC = 4 cm and AC = 4 cm. Taking side AB as base, another triangle ABD is constructed such that the length of side BD is 3 cm and length of side AD is 5 cm, as shown below. Then $\angle$ACB + $\angle$ADB equals

1. 172${}^{\circ }$

2. 191${}^{\circ }$

3. 180${}^{\circ }$

4. 184${}^{\circ }$

Q. Draw ∆ ABC in which ∠A = 70°, AB = 4 cm and AC = 6 cm. Measure BC.