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Standard IX

Mathematics

Construction of Triangles

To draw a rig...

Question

To draw a right angled triangle whose hypotenuse measures 5 cm and the length of one of the sides containing the right angle is 3 cm, the steps of construction are given below.

Steps of construction:
Step 1: Draw a line segment BC=5 cm
Step 2: Find the mid –point O of BC
Step 3 will be

Taking B as centre and radius equal to 4 cm,draw an arc,cutting the semi-circle at A.

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Taking O as centre and radius OB, draw a semi-circle on BC.

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Taking O as centre and radius equal to 3 cm , draw a semi-circle on BC

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Join AB and AC

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Solution

The correct option is B Taking O as centre and radius OB, draw a semi-circle on BC.
Taking O as centre and radius OB, draw a semi-circle on BC.

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Similar questions

Q. Length of sides of a

△ A B C

A B = 5 c m

A C = 3 c m

and

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

and

B

C

Pavan followed the steps given below to construct a triangle

Right-angled triangle LMN, with hypotenuse $L N = 8 c m$ and side $M N = 5 c m$ .

Step 1: Draw line 'l'.
Step 2: Mark a point on 'l' and name it M.
Step 3: Draw a line segment $M N = 5 c m$ on 'l' .
Step 4: Construct a right angle $∠$ XMN at M.
Step 5: Draw an arc with N as the centre and radius equal to $8 c m$ , such that it intersects MX.
Step 6: Mark the point of intersection as L.
Step 7: Join points L and N.

Are the steps followed by him correct?

If it is correct then enter "Yes” if no then enter "No”.

Pavan followed the steps given below to construct a triangle

A Right-angled triangle LMN, right angled at M, with hypotenuse $L N = 8 c m$ and side $M N = 5 c m$ .

Step 1: Draw a line segment $M N = 5 c m$
Step 2: Construct a right angle XMN at M.
Step 3: Draw an arc with N as the centre and radius equal to $8 c m$ , such that it intersects MX.
Step 4: Mark the point of intersection as L.
Step 5: Join points L and N.