In a triangle `A B C ,` the altitude from `A` is not less than `B C` andthe altitude from `B` is not less than `A C` . (a)The triangle is right angled (b) isosceles obtuse angled (d) equilateral

Options

A. right angled
B. isosceles
C. obtuse angled
D. equilateral

Answer

A

Explanation

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)`