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Maharashtra State BoardSSC (English Medium) 10th Standard

If length of sides of a triangle are a, b, c and a^2 + b^2 = c^2, then which type of triangle it is? (A) Obtuse angled triangle (B) Acute angled triangle (C) Equilateral triangle

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Question

If length of sides of a triangle are a, b, c and a2 + b2 = c2, then which type of triangle it is?

Options

  • Obtuse angled triangle

  • Acute angled triangle

  • Equilateral triangle

  • Right angled triangle

MCQ
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Solution

Right angled triangle

Explanation:

If the sides satisfy (a2 + b2 = c2), then by the Pythagorean theorem and its converse the triangle has a 90° angle, with (c) as the hypotenuse.

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