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Question

The construction of a ABC in which AB=7cm,A=75° is possible when (BCAC) is equal to


A

7.5cm

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B

7cm

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C

8cm

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D

6.5cm

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Solution

The correct option is D

6.5cm


Explanation for the correct option: (d)

Step 1: Given data:

In ABC,

We have

AB=7cmandA=75°

Step 2: Rules for constructing a triangle:

Since we know that the sum of two sides of a triangle is greater than the third side.

So,

AB+AC>BC7+AC>BC7>BCAC

Therefore,(d) is the correct option. Because 7cm>6.5cm


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