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What are Altitudes of a Triangle? Video Lecture | Mathematics Olympiad Class 7

24 videos|51 docs|112 tests

Timeline

00:03 What are altitudes?
00:57 Orthocenter of a triangle
01:40 Orthocenter of an acute angle triangle
02:30 Orthocenter of a right angle triangle
02:52 Orthocenter of an obtuse angle triangle
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FAQs on What are Altitudes of a Triangle? Video Lecture - Mathematics Olympiad Class 7

1. What are altitudes of a triangle?
Ans. Altitudes of a triangle are the perpendicular lines drawn from each vertex of the triangle to the opposite side. They are used to determine the height or length of the triangle.
2. How many altitudes does a triangle have?
Ans. A triangle has three altitudes, one from each vertex. Each altitude is perpendicular to the side opposite the vertex from which it is drawn.
3. How can altitudes of a triangle be used in geometry?
Ans. Altitudes of a triangle are used to solve various geometric problems. They can help determine the area of a triangle, as the area is half the product of the base and the corresponding altitude. Altitudes also help in proving the congruence and similarity of triangles.
4. Can the altitudes of a triangle be outside the triangle?
Ans. No, the altitudes of a triangle are always drawn from a vertex to the opposite side within the triangle. They are perpendicular to the side they intersect and extend from the vertex to the opposite side.
5. Are altitudes of a triangle always equal in length?
Ans. No, the altitudes of a triangle can have different lengths. Each altitude is specific to the vertex from which it is drawn and the side it intersects. The lengths of the altitudes depend on the lengths of the sides of the triangle.
24 videos|51 docs|112 tests

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