In a triangle ABC, the altitude from A is not less than BC and the altitude from B is not less than AC. The triangle

Monjur Alahi

In a triangle ABC, the altitude from A is not less than BC and the altitude from B is not less than AC. The triangle
A. right angled
B. isosceles
C. obtuse angled
D. equilateral


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Salim Ahmed Kawsar

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Correct Answer - A
Given `c sin B ge a`
`rArr sin C sin B ge sin A`
and `a sin C ge b`
`rArr sin C sin A ge sin B`
`rArr sin C sin A ge sin B ge (sinA)/(sinC)`
`:. Sin^(2) C ge 1`
`rArr sin C = 1`
`rArr angle C " is " (pi)/(2)`

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