13If in a triangle ABC, a = 6 cm, b = 8 cm, c = 10 cm, then the value of sin 2A is(A) 6/25(B) 8/25(C)10/25(D) 24/25
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0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
24/25
Step-by-step explanation:
- sin2A = 2sinA.cosA
by cos formula
- cosA = b² + c² - a²/2 bc
=64+100-36/160
= 4/5
- then, sin²A + cos²A =1
sinA =√1- cos²A
=√1-16/25 = √25-16/25
=√9/25 = 3/5
- so, sin2A = 2sinA.cosA
=2×3/5×4/5
=24/25
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