Construction of Triangles When Three Sides are Given

Q. Question 2
Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is ${110}^{\circ }$.

Q.

Question 1
Construct the right angled $\Delta$ PQR, where $\angle$ Q = ${90}^{\circ }$, QR = 8 cm and PR = 10 cm.

Q. A triangle of sides of length 6 cm, 4 cm and 7 cm is constructed. Then, the measure of the angle opposite to the side of length 4 cm is

1. 38${}^{\circ }$
2. 51${}^{\circ }$
3. 64${}^{\circ }$
4. 27${}^{\circ }$

Q. A triangle of sides AB = 3 cm, BC = 5 cm and AC = 6 cm is constructed. Then, the measure of angle A is

1. 21${}^{\circ }$
2. 64${}^{\circ }$
3. 38${}^{\circ }$
4. 54${}^{\circ }$

Q. If a triangle of sides AB = 3 cm, BC = 7 cm and AC = 5 cm is constructed, then the measure of the angle B is

1. lies between 20${}^{\circ }$ and 30${}^{\circ }$
2. lies between 50${}^{\circ }$ and 60${}^{\circ }$
3. lies between 30${}^{\circ }$ and 40${}^{\circ }$
4. lies between 40${}^{\circ }$ and 50${}^{\circ }$

Q. A triangle of sides of length 4 cm, 6 cm and 8 cm is constructed. Then, the measure of the angle opposite to the side of length 4 cm is

1. 15${}^{\circ }$
2. 40${}^{\circ }$
3. 53${}^{\circ }$
4. 29${}^{\circ }$

Q. Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.

1. $\text{Draw 5cm, 6cm arcs}\text{from A and B}$
2. $Drawa3cmlineAB$
3. $JoinA,CandB,C$
4. $MarkintersectionasC$

Q. Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.

1. $\text{Draw 5cm, 6cm arcs}\text{from A and B}$
2. $Drawa3cmlineAB$
3. $JoinA,CandB,C$
4. $MarkintersectionasC$

Q. A triangle of sides AB = 4.3 cm, BC = 9.5 cm and AC = 6.4 cm is constructed. Then, $△$ABC is

1. an acute scalene triangle
2. an obtuse scalene triangle
3. a right scalene triangle
4. an acute isosceles triangle

Q.

It is given that AB = 3 cm, AC = 5 cm, and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why?

Q. Construct an equilateral triangle of side 5 cm.

Q. A/An triangle can be drawn if we know the length of one side of the triangle.

1. equilateral
2. isosceles
3. right

Q.

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

1. True

2. False

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. Steps of construction of traingle from two sides of 4 cm and 7 cm and included angle of 30${}^{\circ }$ are

1. $JoinC,B$
2. $Mark30degreesatA$
3. $Draw7cmarcfromA$
4. $MarkintersectionasC$
5. $DrawlineABof4cm$

Q. Sort the steps for construction of a triangle ABC of three sides of lengths 3 cm, 5 cm and 6 cm.

1. $\text{Draw 5cm, 6cm arcs}\text{from A and B}$
2. $Drawa3cmlineAB$
3. $JoinA,CandB,C$
4. $MarkintersectionasC$

Q.

Draw $△PQR$ with $PQ=4cm,QR=3.5cm$ and $PR=4cm$.

What type of triangle is this?