Draw rough sketches for the following: $(a)$ In ∆ABC, BE is a median. $(b)$ In ∆PQR, PQ and PR are altitudes of the triangle. $(c)$ In ∆XYZ, YL is an altitude in the exterior of the triangle.
To do:
We have to draw rough sketches for the following:
(a) In $\triangle ABC, BE$ is a median.
(b) In $\triangle PQR, PQ$ and $PR$ are altitudes of the triangle.
(c) In $\triangle XYZ, YL$ is an altitude in the exterior of the triangle.
Solution :
(a)
A median of a triangle is a line segment joining a vertex to the mid-point of the side opposite side.
In \( \triangle \mathrm{ABC}, \mathrm{BE} \) is the median.
(b) An altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.
$\Delta PQR$ is a right-angled triangle in which $PQ$ and $QR$ are altitudes.
(c)
$\Delta XYZ$ is an obtuse-angled triangle $YL$ is an altitude in the exterior of the triangle.
Related Articles Draw rough sketches for the following:(a) In $\Delta P Q R$, PQ, and PR are altitudes of the triangle.(b) In $\Delta XYZ$, YL is an altitude in the exterior of the triangle.
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