MP Board · Class 10 · Mathematics · TrianglesSides of triangles are given below. Which of them is a right-angled triangle?
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Total Attempts: 1
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Step-by-Step Solution
By Pythagoras theorem, a triangle is a right-angled triangle if the square of the longest side equals the sum of the squares of the other two sides. Checking option (c): 8^2 + 15^2 = 64 + 225 = 289, and 17^2 = 289. Since 64 + 225 = 289, it forms a right-angled triangle.
Detailed Options Breakdown
Option : 7 cm, 24 cm, 25 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: 3 cm, 8 cm, 6 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 2: 8 cm, 15 cm, 17 cm (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 5 cm, 8 cm, 11 cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.