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Statement-I: A median connects a vertex ...

Statement-I: A median connects a vertex of a triangle to the mid-point of the opposite side.
Statement-II: Perpendicular drawn from any vertex of a triangle to the opposite side is called altitude.

A

Both Statement-I and Statement-II are true.

B

Statement-I is true but Statement-II is false.

C

Statement-I is false but Statement-II is true.

D

Both Statement-I and Statement-II are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to evaluate the two statements provided regarding triangles. ### Step 1: Analyze Statement-I **Statement-I:** A median connects a vertex of a triangle to the midpoint of the opposite side. - **Explanation:** In a triangle, a median is defined as a line segment that connects a vertex to the midpoint of the opposite side. This is a fundamental property of medians in triangles. - **Conclusion:** This statement is **True**. ### Step 2: Analyze Statement-II **Statement-II:** A perpendicular drawn from any vertex of a triangle to the opposite side is called altitude. - **Explanation:** An altitude in a triangle is indeed defined as a perpendicular line segment drawn from a vertex to the line containing the opposite side. This means that the statement accurately describes what an altitude is. - **Conclusion:** This statement is also **True**. ### Final Conclusion Since both statements are true, we can conclude that the correct answer is: - **Both Statement-I and Statement-II are true.**
To solve the question, we need to evaluate the two statements provided regarding triangles. ### Step 1: Analyze Statement-I **Statement-I:** A median connects a vertex of a triangle to the midpoint of the opposite side. - **Explanation:** In a triangle, a median is defined as a line segment that connects a vertex to the midpoint of the opposite side. This is a fundamental property of medians in triangles. - **Conclusion:** This statement is **True**. ...
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