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Question
AC = 10 cm, ∠B = 90°, ∠C = 30°. ∴ AB = ______.
Options
`5sqrt3` cm
`5sqrt2`
5 cm
`5/sqrt3 "cm"`
MCQ
Fill in the Blanks
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Solution
AC = 10 cm, ∠B = 90°, ∠C = 30°. ∴ AB = 5 cm.
Explanation:
In right triangle △ABC, using sin(30°) = `(AB)/(AC)`
AB = AC ⋅ sin(30°)
= 10 ⋅ `1/2`
= 5 cm
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