Construction of a Triangle with SSS Criterion

Q.

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

1. True

2. False

Q.

Which of the following information are needed to draw a unique $\Delta ABC$?

1. ∠A, ∠B and ∠C

2. AB, BC and ∠C

3. Length of AB and AC only

4. Length of AB, AC and BC

Q. A triangle can be constructed if side/sides are given.

1. one
2. two
3. three

Q. Which information is correct to create a triangle?

1. $\overline{AB}$ = 5 cm , $\angle$ A = 35°, $\angle$ C = 75°
2. An equilateral triangle with side 6 cm
3. A right angled triangle with two other angles measured 40° and 50°
4. An isosceles triangle with equal sides 5 cm

Q. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

1. S.A.S. criterion
2. R.H.S. criterion
3. A.S.A. criterion
4. S.S.S. criterion

Q. Steps for the construction of a triangle ABC with sides AB = 5 cm, BC = 4.5 cm and AC = 4 cm is given below. Choose the correct order.

1. With A as centre and radius 4 cm , draw an arc
2. Draw a line segment which is sufficiently long using ruler.
3. Join AC and BC
4. With B as centre radius 4.3 cm, draw another arc cutting the previous arc at C.
5. Locate points A and B on it such that AB = 5 cm.

1. 5, 1, 2, 4, 3
2. 2, 5, 1, 3, 4
3. 2, 5, 1, 4, 3
4. 5, 2, 1, 4, 3

Q. If AB = 3.5 cm, BC = 7 cm, and AC = 10 cm. Which criterion can be used to construct ABC?

1. SAS
2. ASA
3. RHS
4. SSS

Q. If PQ = 5 cm, QR = 3.5 cm, and PR = 5 cm are joined. What type of triangle is this?

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

Q. A triangle can be constructed if side/sides are given.

1. one
2. two
3. three

Q.

Which of the following information are needed to draw a unique $\Delta ABC$?

1. Length of AB and AC only

2. Length of AB, AC and BC

3. AB, BC and $\angle C$

4. $\angle A$, $\angle B$ and $\angle C$