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 D 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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