Consider the following statements:I. The orthocenter of right-angle tr

1.	Consider the following statements:I. The orthocenter of right-angle triangle lies on the vertex of the triangleII. In right-angle triangle the median drawn on the base of a triangle is not half of its base.Which of the given statements is/are incorrect?1. Only 12. 2 only3. Both 1 and 24. Neither 1 nor 2
Answer» Correct Answer - Option 2 : 2 only Given: Two statements are given Concept Used: Basic concepts of triangle and circle Calculation: Orthocenter is the point of intersection of line perpendicular on the side of triangle and as we know that the two side of right angle triangle is perpendicular to each other so orthocenter will lie on the vertex of right angle triangle. ∴ Statement 1 is correct Now, we know that in right angle triangle if the median drawn on the hypotenuse of the triangle is always half of the hypotenuse. ∴ Statement 2 is Incorrect Hence, option (2) is correct

Consider the following statements:I. The orthocenter of right-angle triangle lies on the vertex of the triangleII. In right-angle triangle the median drawn on the base of a triangle is not half of its base.Which of the given statements is/are incorrect?1. Only 12. 2 only3. Both 1 and 24. Neither 1 nor 2

Answer» Correct Answer - Option 2 : 2 only

Given:

Two statements are given

Concept Used:

Basic concepts of triangle and circle

Calculation:

Orthocenter is the point of intersection of line perpendicular on the side of triangle and as we know that the two side of right angle triangle is perpendicular to each other so orthocenter will lie on the vertex of right angle triangle.

∴ Statement 1 is correct

Now, we know that in right angle triangle if the median drawn on the hypotenuse of the triangle is always half of the hypotenuse.

∴ Statement 2 is Incorrect

Hence, option (2) is correct

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