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प्रश्न
The length of AB is ______.
पर्याय
20 cm
`10(sqrt3 - 1) cm`
`10sqrt3 cm`
`10(sqrt3 + 1) cm`
MCQ
रिकाम्या जागा भरा
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उत्तर
The length of AB is `bbunderline(10(sqrt3 + 1) cm)`.
Explanation:
The total base AB is split into two parts by the perpendicular line of height 10 cm:
-
Left part: \[\frac{10}{\tan 45^\circ} = 10\text{ cm}\]
-
Right part: \[\frac{10}{\tan 30^\circ} = 10\sqrt{3}\text{ cm}\]
Adding them together gives \[\text{AB} = 10 + 10\sqrt{3} = 10(\sqrt{3} + 1)\text{ cm}\].
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