Answer
Verified
476.7k+ views
Hint-In this question, we use the concept of orthocenter of triangle. The orthocenter of a triangle is the intersection of the three altitudes of a triangle. Remember, the altitude of a triangle is a perpendicular segment from the vertex of the triangle to the opposite side.
Complete step-by-step solution -
Suppose we have an obtuse triangle $\vartriangle ABC$ , where obtuse angle at B.
Now, we know the orthocenter of a triangle varies with the different types of triangles.
So, we create the altitude from each vertex of the triangle and observe where the all three altitudes meet.
Now, all three altitudes meet at a point H.
The point H is an orthocenter of triangle $\vartriangle ABC$.
We can see that the orthocenter is now outside the triangle because two out of the three altitudes cannot be drawn inside the triangle.
So, the correct option is (a).
Note-In such types of questions we have to find the locus of orthocenter by using the geometrical interpretation because locus of the orthocenter varies from different types of triangles. So, we would always keep in mind that in obtuse triangles orthocenter lie outside the triangle.
Complete step-by-step solution -
Suppose we have an obtuse triangle $\vartriangle ABC$ , where obtuse angle at B.
Now, we know the orthocenter of a triangle varies with the different types of triangles.
So, we create the altitude from each vertex of the triangle and observe where the all three altitudes meet.
Now, all three altitudes meet at a point H.
The point H is an orthocenter of triangle $\vartriangle ABC$.
We can see that the orthocenter is now outside the triangle because two out of the three altitudes cannot be drawn inside the triangle.
So, the correct option is (a).
Note-In such types of questions we have to find the locus of orthocenter by using the geometrical interpretation because locus of the orthocenter varies from different types of triangles. So, we would always keep in mind that in obtuse triangles orthocenter lie outside the triangle.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
How do you graph the function fx 4x class 9 maths CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What are the main constituents of Dettol class 10 chemistry CBSE