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Standard VII

Mathematics

Construction of Triangle When Two Sides and Non-Included Angle is Given

Vikash follow...

Question

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?

Draw an arc of 7 cm radius with A as center.

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Draw an arc of 7 cm radius with B as center.

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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 B

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Solution

The correct option is A Draw an arc of 7 cm radius with A as center.
Since,the above data follows from construction of triangle when two sides and non-included angle is given.

Hence, following the steps from construction of triangle when two sides and non-included angle is given if we draw an arc of 7 cm radius with A as a centre after step 2, we can construct a triangle with the given measurements as is shown below.

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Similar questions

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△

MAN such that MA = 4 cm, NA = 7 cm and

∠

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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:
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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 $P .$

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Q. Length of two sides of a

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we follow the following steps:
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The next step is ___.

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