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Question

A triangle of sides of length 4 cm, 6 cm and 8 cm is constructed. Then, the measure of the angle opposite to the side of length 4 cm is

A
29
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B
15
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C
40
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D
53
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Solution

The correct option is A 29
Let us construct the required triangle as follows:

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

Step 2:
Draw an arc of 8 cm by taking B as centre.

Step 4:
Draw an arc of 6 cm by taking A as centre.

Step 3:
Mark the intersecting point as C.

Step 4:
Join A, C and B, C to get the required ABC.


Now, by above construction we see that the angle opposite to the side of length 4 cm is C.

Using a protractor, we see that the measure of angle C is 29.


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