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Examples: Properties of Triangles Video Lecture - Class 9
FAQs on Examples: Properties of Triangles Video Lecture - Class 9
| 1. What are the properties of a triangle? |  |
Ans. The properties of a triangle include:
1. The sum of the angles of a triangle is always 180 degrees.
2. The sum of any two sides of a triangle is always greater than the third side.
3. The longest side of a triangle is opposite the largest angle, while the shortest side is opposite the smallest angle.
4. The sum of the lengths of any two sides of a triangle is always greater than the third side.
5. The three medians of a triangle intersect at a point called the centroid.
| 2. How can we determine if a triangle is equilateral? | |
Ans. A triangle is equilateral if all three sides are equal in length. To determine if a triangle is equilateral, we can measure the lengths of its sides using a ruler or a measuring tape. If all three sides are found to be equal, then the triangle is equilateral.
| 3. How can we find the area of a triangle? | |
Ans. The area of a triangle can be found using the formula: Area = (base x height)/2. Here, the base represents the length of the triangle's base, and the height represents the perpendicular distance from the base to the opposite vertex.
| 4. Can a triangle have two right angles? | |
Ans. No, a triangle cannot have two right angles. The sum of the angles in a triangle is always 180 degrees. Since a right angle measures 90 degrees, having two right angles in a triangle would result in a total angle measure of 180 degrees, leaving no room for the third angle.
| 5. What is the Pythagorean Theorem? | |
Ans. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be written as c^2 = a^2 + b^2, where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. This theorem is named after the Greek mathematician Pythagoras.
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Nov 24, 2024 Last updated |
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