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Question

In the given figure, M is the mid-point of side LP of ∆KLP.


(1) In ∆KLP, seg KN is ........ .
(2) In ∆KL, seg KM is ......... .

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Solution

(1) An altitude of a triangle is the perpendicular drawn from a vertex to the opposite side of the triangle.
In ∆KLP, seg KN has been drawn through the vertex K and perpendicular to side LP.
∴ In ∆KLP, seg KN is altitude.

(2) The line segment joining any vertex of a triangle to the mid-point of its opposite side is called the median of the triangle.
In ∆KLP, M is the mid-point of LP and K is the vertex opposite side LP.
∴ In ∆KLP, seg KM is median.

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