Question
In a right-angled triangle, the perimeter is 60 cm. If
the base is 12 cm and the height is 16 cm, find the length of the hypotenuse.Solution
Let the hypotenuse be c. Given: Perimeter = 60 cm, base = 12 cm, height = 16 cm. We know that the perimeter of a triangle is the sum of all sides: 12 + 16 + c = 60, so c = 60 - 28 = 32 cm. Using Pythagoras' theorem: cĀ² = 12Ā² + 16Ā² cĀ² = 144 + 256 = 400 c = ā400 = 20 cm. Correct option: B) 20 cm
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