Advertisements
Advertisements
Question
The ______ triangle always has altitude outside itself.
Advertisements
Solution
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
RELATED QUESTIONS
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’.
Point G is the centroid of ABC.
If l(RG) = 2.5 then l(GC) = ______.
The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________
How many altitudes does a triangle have?
Median is also called ______ in an equilateral triangle.
Which statement best describes an altitude in a triangle?
The point where all three altitudes of a triangle intersect is known as the:
