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Question

If in a ABC, a=6cm,b=8cm,c=10cm, then sin2A is


A

625

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B

825

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C

1025

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D

2425

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Solution

The correct option is D

2425


Explanation for the correct option.

Find the value of sin2A:

Given, a=6cm,b=8cm,c=10cm.

From cosine rule,

cosA=b2+c2-a22bc=82+102-622×8×10=64+100-36160=128160=45

We know that,

sin2A=1-cos2AsinA=1-452=1-1625=35

Now,

sin2A=2sinAcosA=2×35×45=2425

Hence, the correct option is D.


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