Amit followed the following steps to construct a triangle $△$ MAN such that MA = 4 cm, NA = 7 cm and $∠$ A = 50 $^{\circ}$

Step 1:
Draw a line segment of MA of length 4 cm.

Step 2:
Measure the angle A with your protractor. Make a mark at 50 degrees and draw a line from A passing through the mark.

Step 3:
Mark the intersecting point as N.

Step 4:
Join MN to get the required $△$ MAN.

Which of the step is missing for constructing this $△$ MAN ?

Draw an arc of 7 cm with A as a Centre.

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Draw an arc of 7 cm with M as a Centre.

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Draw a line segment of length of 7 cm from A

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Draw a line segment of length of 7 cm from M

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Solution

The correct option is A Draw an arc of 7 cm with A as a Centre.

Since, the above data follows from construction of triangle when two sides and included angle is given.

Following the steps from construction of triangle when two sides and the included angle are given, if we draw an arc of 7 cm with A as a centre after step 3, we can construct a triangle with the given measurements.

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Similar questions

Q. Vikash followed the following steps to construct a triangle

△

ABC such that AB = 6 cm,AC = 7 cm and

∠

B = 50

^{\circ}

Step 1:
Draw a line segment of AB of length 6 cm.

Step 2:
Mark a ray BX making an angle 50

^{\circ}

at B.

Step 3:
Mark the intersecting point as C.

Step 4:
Join CA to get the required

△

ABC.

Which of the step is missing for constructing this

△

ABC?

Rajeev followed the following steps to construct a triangle $P Q R$ such that $P Q = 4 c m,$ $Q R = 5 c m,$ and $R P = 7 c m .$

Step 1: Draw a line segment of $Q R$ of length $5 c m .$

Step 2: Draw an arc of $4 c m$ by taking $Q$ as the centre.

Step 3: Mark the intersecting point as $P .$

Step 4: Join $Q, P$ , and $Q, R$ to get the required triangle $P Q R .$

Which of the following step is missing for constructing this triangle $P Q R ?$

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 of construction of traingle from two sides of 4 cm and 7 cm and included angle of 30

^{\circ}

are

Q. PQRS is a quadrilateral. PQ = 4cm, QR = 6 cm, SR = 5 cm,
PS = 5.5 cm and PR = 7 cm.
The steps for construction are :

Step 1: Draw a line segment PR of length 7 cm.
Step 2: Draw an arc of length 4 cm from P and another arc of length 6 cm from the point R.
Step 3: Mark the intersecting point of the arcs be Q. Join Q to P and R.

What is the next step?

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