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प्रश्न
Given below is the triangle and length of line segments. Identify in the given figure, ray PM is the bisector of ∠QPR.
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उत्तर
If a ray (or line) bisects an angle of a triangle, then it divides the opposite side in the ratio of the adjacent sides.
In triangle PQR, ray PM is said to bisect angle ∠QPR.
`(RM)/(MQ) = (PR)/(PQ)`
Given:
- PR = 7
- PQ = 10
- RM = 6
- MQ = 8
`(RM)/(MQ) = 6/8 = 3/4`
`(PR)/(PQ) = 7/10`
`3/4 cancel= 7/10`
So, RM : MQ ≠ PR : PQ, and hence, ray PM does not bisect ∠QPR.
Ray PM is not the bisector of ∠QPR
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