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Given

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a=13

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b=26

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For any right triangled,One angle is equals to 90º.

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In given problem we need to find angles A,B (unknown angles).

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So C should be known.So consider C = 90º.

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For a right triangle ABC

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c² = a² + b²

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c² = 12² + 26²

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c² = 820

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c = 28.64

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sinB = b/c

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sinB = 26/28.64

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B = sin^-1(0.9078)

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B = 65.2º

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Total of all angles in a triangle is 180º

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A + B + C =180

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A = 180 - B - C

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A = 180 - 65.2 - 90

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A = 24.8º

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Solution :

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Side length c =28.64

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Angles B = 65.2º and A = 24.8º

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