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Standard VIII
Mathematics
Constructing a Triangle using SSS property
To design a t...
Question

To design a triangular tabletop with sides measuring 10 feet, 8 feet, and 6 feet, what is the chronological order of the steps that need to be followed?


A
2−3−1−4
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B
4−2−1−3
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C
3−2−4−1
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D
4−3−2−1
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Solution

The correct option is B 4−2−1−3
The correct order order of steps to construct the triangle is:
4. Take 1 in = 2 ft as scale.
2. Draw a line segment AB measuring 5 inches.
1. With A as the center and a radius of 4 inches, draw an arc. With B as the center and a radius of 3 inches, draw another arc. Both arcs intersect at point C.
3. Join AC and BC.



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Q. The steps to construct triangle ABC with sides AB=5 cm,BC=4.3 cm, and AC=4 cm are given below. Choose the correct order of the steps.

1. With A as the center and a radius of 4 cm, draw an arc.
2. Draw a line segment that is sufficiently long using a ruler.
3. Join AC and BC.
4. Taking B as the center and a radius of 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.

Q. Steps for the construction of a quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD= 5 cm and AC = 8 cm is given below.

Choose the correct order.

1. Draw a line segment AC of 8 cm.

2. With 4 cm as radius from A draw an arc.

3. With 5 cm as radius from A draw an arc to the opposite side of AC.

4. With 6 cm as radius cut the arc drawn in step 2. Let that point of intersection be B. Join AB and CB.

5. From C take 5.5 cm as radius and cut the arc drawn in step 4. Let the point of intersection be D. Join AD and CD.
Q.

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of ∠AOE ?


Q. The steps for constructing a triangle PQR with the given sides PQ = 5 ft, PR = 4 ft and QR = 3 ft (Scale: 1 in : 1 ft) are :

Step 1 : Draw a line segment PQ of length 5 in.

Step 2 : Taking P as centre and radius of 4 inches, draw an arc above PQ.

Step 3 : ?

Step 4 : Join PR and QR.
Q. Steps for the construction of a parallelogram ABCD in which AB = 6 cm, BC = 4.5 cm and diagonal AC = 6.8 cm is given below.

Choose the correct order.

1. Draw AB = 6 cm.

2. With A as centre and radius 6.8 cm, draw an arc.

3. With A as centre and radius 4.5 cm, draw an arc.

4. With B as center and radius 4.5 cm draw another arc, cutting the previous arc at C. Join BC and AC.

5. With C as centre and radius 6 cm draw another arc, cutting the previously drawn arc at D. Join DA and DC.
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