Angle Sum Property Of A Triangle

To solve the problem, we need to determine the corresponding side of the second triangle given that the two triangles are similar. Let us analyze this step by step.

1. Understanding Similar Triangles:
When two triangles are similar, their corresponding sides are proportional. This means the ratio of the lengths of corresponding sides is constant.

2. Given Information:
The bases of the two similar triangles are $24%20%5C%2C%20%5Ctext%7Bcm%7D$ and $18%20%5C%2C%20%5Ctext%7Bcm%7D$ . One side of the first triangle is $8%20%5C%2C%20%5Ctext%7Bcm%7D$ , and we need to find the corresponding side of the second triangle.

3. Ratio of Corresponding Sides:
The ratio of the bases of the two triangles gives the scale factor between the two triangles:

$ $%5Ctext%7BRatio%7D%20%3D%20%5Cfrac%7B%5Ctext%7BBase%20of%20First%20Triangle%7D%7D%7B%5Ctext%7BBase%20of%20Second%20Triangle%7D%7D%20%3D%20%5Cfrac%7B24%7D%7B18%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D$ $%3C%2Fp%3E%20%3Cp%3EThis%20ratio%20applies%20to%20all%20corresponding%20sides%20of%20the%20triangles.%20Therefore%2C%20if%20one%20side%20of%20the%20first%20triangle%20is%20%5C(%208%20%5C%2C%20%5Ctext%7Bcm%7D$ , the corresponding side of the second triangle can be found using the same ratio:

\) $%5Ctext%7BCorresponding%20Side%20of%20Second%20Triangle%7D%20%3D%20%5Cfrac%7B%5Ctext%7BSide%20of%20First%20Triangle%7D%7D%7B%5Ctext%7BRatio%7D%7D%20%3D%20%5Cfrac%7B8%7D%7B%5Cfrac%7B4%7D%7B3%7D%7D%20%3D%208%20%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D%20%3D%206%20%5C%2C%20%5Ctext%7Bcm%7D$ $

4. Conclusion:
The corresponding side of the second triangle is $6%20%5C%2C%20%5Ctext%7Bcm%7D$ .

Final Answer:
The correct option is $%7B6%20%5C%2C%20%5Ctext%7Bcm%7D%7D$ .

About Angle Sum Property Of A Triangle - TS-POLYCET

Angle Sum Property Of A Triangle is a vital chapter for TS-POLYCET aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

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Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

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Review the topic breakdown to see which sub-topics within Angle Sum Property Of A Triangle carry the most weight. Then, tackle the questions iteratively to solidify your understanding.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

About Angle Sum Property Of A Triangle - TS-POLYCET

Frequently Asked Questions

Why focus on Angle Sum Property Of A Triangle PYQs?

How to best use this analysis?

Angle Sum Property Of A Triangle

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

About Angle Sum Property Of A Triangle - TS-POLYCET

Frequently Asked Questions

Why focus on Angle Sum Property Of A Triangle PYQs?

How to best use this analysis?

Chapter Questions
1 MCQs