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प्रश्न
The smallest angle of the ΔABC, when a = 7, b = `4sqrt(3)` and c = `sqrt(13)` is ______.
पर्याय
30°
15°
45°
90°
MCQ
रिकाम्या जागा भरा
उत्तर
The smallest angle of the ΔABC, when a = 7, b = `4sqrt(3)` and c = `sqrt(13)` is 30°.
Explanation:
Since, c = `sqrt(13)` is the smallest side.
∴ c is the smallest angle.
∴ cos c = `("b"^2 + "a"^2 - "c"^2)/(2"ab") = (48 + 49 - 13)/(2 xx 7 xx 4sqrt(3))`
⇒ cos c = `3/(2sqrt(3)) = sqrt(3)/2`
⇒ c = 30°
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