Construction of a Triangle with SSS Criterion

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

1. one
2. two
3. three

Q. From the following figure, identity the type of triangle:

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

Q.

Can a triangle be formed with the given sides. If yes, state the type of triangle formed.[2marks]

Q. State true or false?

If the sides of a triangle are 4 cm , 5 cm and 7 cm , then it is an isosceles triangle.

Q. 3 sides of a triangle are 5 cm, 6 cm and 4 cm. What type of triangle is it?

1. An equilateral triangle
2. An isosceles triangle
3. A scalene triangle
4. None of the above

Q.

The three sides of a triangle measure 10cm, 6 cm and 12 cm. Classify the triangle based on its sides.

1. Equilateral triangle

2. Scalene triangle

3. Isosceles triangle

4. None of the above

Q. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with $5$ matchsticks?
(Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.

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.

A triangle having sides measuring 5 cm, 11 cm and 13 cm is _______ triangle.

1. scalene

2. equilateral

3. isosceles

4. right angled

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. A triangle having sides measuring 5 cm, 11 cm and 13 cm is a _______ triangle.

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. 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. 3 sides of a triangle are 5 cm, 6 cm and 4 cm. What type of triangle is it?

1. An equilateral triangle
2. An isosceles triangle
3. A scalene triangle
4. None of the above

Q.

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

1. True

2. False

Q. ∆XYZ is constructed such that XY = 4 cm, XZ = 8 cm and ∠X = 20⁰. Then, find the sum of measures of ∠Y and ∠X.

Q. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with $3$ matchsticks?
(Remember you have to use all the available matchsticks in this case). Name the type of triangle. If you cannot make a triangle, think of reasons for it.

Q. Try to construct triangles using match sticks. Some are shown here. Can you make a triangle with $4$ matchsticks?
(Remember you have to use all the available matchsticks) Name the type of triangle. If you cannot make a triangle, think of reasons for it.

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