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प्रश्न
In ΔABC, the bisector AX of ∠A intersects BC ar X. XL ⊥ AB and XM ⊥ AC are drawn (Fig.) is XL = XM? why or why not?
उत्तर
Since, every point on the bisectors of the angles between two interesting lines is equidistant from the lines. Here, X lies on the bisector of ∠BAC. Therefore, X is equidistant from AB and AC. It is given that XL ⊥ AB and XM ⊥ AC. Therefore, distance of X from AB and AC are XL and XM respectively.
Hence, XL = XM.
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