Question
A right-angled triangle has legs of lengths 9 cm and 12
cm. Find its hypotenuse, area and perimeter.Solution
Let legs = 9 cm, 12 cm; right angle between them. Hypotenuse = √(9² + 12²) = √(81 + 144) = √225 = 15 cm Area = ½ × base × height = ½ × 9 × 12 = 54 cm² Perimeter = 9 + 12 + 15 = 36 cm Answer: Hypotenuse = 15 cm; Area = 54 cm²; Perimeter = 36 cm.
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