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Construction of Triangles When Three Sides are Given

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Question

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

A

Draw 5cm, 6cm arcs from A and B

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B

D r a w a 3 c m l i n e A B

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C

J o i n A, C a n d B, C

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D

M a r k i n t e r s e c t i o n a s C

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Solution

The steps for Constructing this triangle is as follows:

Step 1:
Draw a line segment AB of length 3 cm.

Step 2:
Draw an arc of radius 5 cm and 6cm with A and B as centre respectively.

Step 4:
Mark the point of intersection as C.

Step 5:
Join the A,C and B,C to get the required triangle as shown below.

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Similar questions

Q. Steps of construction of a right triangle which has hypotenuse of 5 cm and one of the two sides of 3 cm length

Q. Length of sides of a

△ A B C

A B = 5 c m

A C = 3 c m

B C = 4 c m

. If the construction of the triangle formed by these three sides include following steps, then answer the following question:

Which of the following step is not a part of construction?

Steps of construction:

Step 1. Draw a line segment

A B = 5 c m

Step 2. Assuming

A

a centre draw an arc of radius

3 c m

Step 3. Now assuming

B

as centre draw an arc of

4 c m

intersecting the previous arc at

C

Step 4. Now join

A

C

B

C

Length of sides of a

△ A B C

A B = 5 c m

A C = 3 c m

B C = 4 c m

. Then, construct the triangle formed by these three sides by following these steps. Put them in proper order.

Step 1. Draw a line segment

A B = 5 c m

Step 2. Now assuming

B

as centre draw an arc of

4 c m

intersecting the previous arc at

C

.

Step 3. Assuming

A

a centre draw an arc of radius

3 c m

Step 4. Now join

A

C

B

C

Q. Which of the following step is not required to construct a

△ A B C

, when AB= 3cm, BC= 5cm and

∠ A B C = 60^{\circ}

.

Arav was asked to construct a triangle ABC with sides AB and BC equal to 5 cm and 6.5 cm respectively. The measure of the angle B is 60⁰. He started the construction, which of the following steps of construction followed by him is incorrect

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