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Answer to Qn 36:
(i) sin B = (√ 4b² - a² ) / 2b
(ii) sin ∠BAD = a / 2b
Step-by-step explanation:
ΔABC is isosceles
so, the perpendicular from A divides BC into two equal parts.
⇒BD = BC / 2 =
Δle ABD is right angled,
by pythagoras theorem,
AB² = AD² + BD²
AD² = AB² - BD²
= b² -
= (4b² - a² ) / 4
∴ AD = (√ 4b² - a² ) / 2
i) sin B = AD / AB
∴ sin B = (√ 4b² - a² ) / 2b
ii) sin ∠BAD = BD / AB
∴ sin ∠BAD = a / 2b
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