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प्रश्न
The ______ triangle always has altitude outside itself.
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उत्तर
The obtuse triangle always has altitude outside itself.
Explanation:
In an obtuse triangle, one of the angles is greater than 90°. Because of this, the altitude (perpendicular drawn from a vertex to the opposite side) from the vertex of the obtuse angle falls outside the triangle when extended, making it impossible to draw the altitude inside the triangle.
This only happens in obtuse triangles. In acute and right triangles, all altitudes lie inside or on the triangle.
APPEARS IN
संबंधित प्रश्न
Draw rough sketch for the following:
In ΔABC, BE is a median.
Draw rough sketch for the following:
In ΔXYZ, YL is an altitude in the exterior of the triangle.
In Δ LMN, _____ is an altitude and _____ is a median. (write the names of appropriate segments.)

Draw an acute angled Δ PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
Draw a right angled Δ XYZ. Draw its medians and show their point of concurrence by G.
Which statement best describes an altitude in a triangle?
How many altitudes can be drawn in a triangle?
The point where all three altitudes of a triangle intersect is known as the:
Which of the following is NOT true about the altitude of a triangle?
What do we call the segment from a vertex to the opposite side that forms a 90° angle with that side?
