Knowee
Questions
Features
Study Tools

4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.

Question

  1. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

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.

This problem has been solved

Solution 2

Step 1: Start by drawing an obtuse triangle. Label the vertices as L, M, and N. Make sure one of the angles is greater than 90 degrees to ensure it's an obtuse triangle.

Step 2: Draw the altitude from each vertex. The altitude is a line drawn from a vertex perpendicular to the opposite side.

Step 3: The point where all three altitudes intersect is the orthocenter of the triangle. Label this point as 'O'.

Please note that in an obtuse triangle, the orthocenter will lie outside the triangle.

This problem has been solved

Similar Questions

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.

3. Draw an obtuse-angled ∆STV. Draw its medians and show the centroid.

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.)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.