Which of the following steps is INCORRECT, while constructing $△$ LMN, right-angled at M, given that LN = 5 cm and MN = 3 cm?
Step 1. Draw MN of length 3 cm.
Step 2. At M, draw MX $⊥$ MN. (L should be somewhere on this perpendicular).
Step 3. With N as the center, draw an arc of radius 5 cm. (L must be on this arc since it is at a distance of 5 cm from N).
Step 4. L has to be on the perpendicular line MX as well as on the arc drawn with center N. Therefore, L is the meeting point of these two and $△$ LMN is obtained.

Only Step 4

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Both Step 2 and Step 3

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Only Step 2

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None of these

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Solution

The correct option is A Only Step 4

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Similar questions

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.

Are the steps followed by him correct?

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

Vikas followed the steps given below to construct a triangle

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

Step 1:
Draw the line segment MN of the length 5 cm.

Step 2:
Measure the angle M with your protractor. Make a mark at 90 degrees and draw a line MX from M passing through the mark.

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.

Q. Steps for the construction of a right triangle LMN in which

∠ M = 90^{\circ}

, MN = 4 cm and LN = 6.2 cm is given below. Choose the correct order.

1. Draw a line segment XY.
2. Construct a line segment MP, sufficiently large such that

∠ N M P = 90^{\circ}

3. With N as centre and radius 6.2 cm draw an arc, cutting MP at L, join NL.
4. Locate M and N on XY such that MN = 4 cm.

Pavan tried to draw a line parallel to a given line, 'l'. Few steps are shown below. What will be the next step?

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.

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