Maths Triangle and Its Properties part 10 (Questions 1) CBSE Class 7 Mathematics VII

TL;DR

This video discusses triangle properties, including medians, altitudes, and exterior angles, with example questions and solutions.

Transcript

hello friends this video on triangle and its properties part 10 is brought to you by exam fear calm no more fear from exam so based on whatever we have studied so far let us quickly look at some of the questions question number one in triangle P Q R D is the midpoint of Q R that means QD is equal to di right because D is the midpoint so PM is what ... Read More

Key Insights

• 🔺 Altitudes and medians have different properties and purposes in a triangle.
• 🔺 The midpoint of the opposite side in a triangle is significant when measuring medians.
• 🔺 Exterior angles in a triangle can be found using the exterior angle property.
• 🥳 Understanding the relationships between different parts of a triangle can help in solving geometry problems.

Questions & Answers

Q: What is the difference between an altitude and a median in a triangle?

An altitude is a line segment drawn from a vertex perpendicular to the opposite side, while a median is a line segment joining the midpoint of the opposite side to the vertex. Altitudes do not bisect the base, while medians do.

Q: How can we mathematically prove that the altitude does not bisect the base of a triangle?

By using the equation QM + 2MD = MR, we can show that QM is not equal to MR. Therefore, we can conclude that the altitude does not bisect the base of the triangle.

Q: What is an exterior angle in a triangle?

An exterior angle is formed outside the triangle and has one side and one extended side of the triangle. It is located on the vertex of the triangle.

Q: How can we find the value of an exterior angle using the exterior angle property?

The exterior angle is equal to the sum of the opposite interior angles. By knowing the values of the opposite interior angles, we can find the value of the exterior angle.

Summary & Key Takeaways

• The video explains the properties of the triangle, such as medians, altitudes, and exterior angles.

• It discusses the relationship between the midpoint of the opposite side and the length of the median.

• The video provides examples of finding the value of exterior angles using the exterior angle property.