4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.
Question
4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.
Solution
Step 1: Start by drawing an obtuse triangle ∆LMN. An obtuse triangle is a triangle in which one of the angles is an obtuse angle (greater than 90 degrees).
Step 2: Draw the altitudes of the triangle. An altitude of a triangle is a line segment drawn from one vertex of the triangle perpendicular to the opposite side.
Step 3: The point where all three altitudes intersect is called the orthocenter. Mark this point as 'O'.
Please note that in an obtuse triangle, the orthocenter lies outside the triangle.
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2. Draw an acute-angled ∆PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
The orthocenter is Blank 1 Question 17 of the the triangle, in an obtuse triangle.
6. Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence.
1. In ∆LMN, …… is an altitude and …… is a median. (Write the names of appropriate segments.)
3. Will an altitude always lie in the interior of a triangle? If you think that this need not betrue, draw a rough sketch to show such a case
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