CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Problem Set on Triangles
Problem Set on Triangles Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Problem Set on Triangles Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What are the different types of triangles? |  |
Ans. There are several types of triangles based on their sides and angles. The three main types of triangles are equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (no sides or angles are equal).
| 2. How can I identify the type of triangle by its angles? | |
Ans. To identify the type of triangle by its angles, you can measure the angles using a protractor or use the side lengths to calculate the angles using trigonometric functions. If all three angles are equal, it is an equilateral triangle. If two angles are equal, it is an isosceles triangle. If none of the angles are equal, it is a scalene triangle.
| 3. How can I determine the area of a triangle? | |
Ans. The formula to determine the area of a triangle is 0.5 multiplied by the base multiplied by the height. If you know the length of the base and the perpendicular height, you can plug in these values into the formula to calculate the area. Alternatively, if you know the lengths of all three sides, you can use Heron's formula to find the area.
| 4. How do I calculate the missing side length of a triangle? | |
Ans. Depending on the information given, you can use different methods to calculate the missing side length of a triangle. If you have the lengths of the other two sides, you can use the Pythagorean theorem for a right triangle or the Law of Cosines for any triangle. If you have the angle measures and one side length, you can use the Law of Sines to find the missing side length.
| 5. How can I prove that two triangles are congruent? | |
Ans. Two triangles are congruent if their corresponding sides and angles are equal. There are several methods to prove triangle congruence, such as the Side-Side-Side (SSS) criterion, Side-Angle-Side (SAS) criterion, Angle-Side-Angle (ASA) criterion, Angle-Angle-Side (AAS) criterion, and Hypotenuse-Leg (HL) criterion for right triangles. By showing that the corresponding sides and angles of two triangles are equal, you can prove their congruence.
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Dec 22, 2024 Last updated |
Video Description: Problem Set on Triangles for CAT 2024 is part of Quantitative Aptitude (Quant) preparation.
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