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NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

The ratio of the lengths of two corresponding sides of two similar triangles is 15 : 14. The ratio of the areas of these two triangles, in the order mentioned, is:

A
15 : 14
B
226 : 197
C
225 : 196
D
15 15 : 14
Result Summary
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NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
The ratio of the lengths of two corresponding sides of two similar triangles is 15 : 14. The ratio of the areas of these two triangles, in the order mentioned, is:
Correct Answer
225 : 196
Geometric Theorem Application: In classical Euclidean geometry, a fundamental property of similar polygons states that the ratio of their enclosed areas is stri......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Geometry
Chapter -
Ref. Topic Triangles
Pg. No -
💡 Analysis & Explanation
Geometric Theorem Application ▼
In classical Euclidean geometry, a fundamental property of similar polygons states that the ratio of their enclosed areas is strictly equal to the square of the ratio of their corresponding linear dimensions (sides).
Mathematical Execution ▼
We are given the side ratio as 15 / 14. To determine the area ratio, we mathematically square this fraction: (15 / 14) squared.
Final Calculation ▼
Squaring the numerator gives 15 × 15 = 225. Squaring the denominator gives 14 × 14 = 196.
Conclusion ▼
The corresponding ratio representing the areas is firmly established as 225 : 196.
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