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1. What is the area of a right-angled triangle? I. The perimeter of the triangle is 30 cm. II. The ratio between the base and the height of the triangle is 5 : 12. III. The area of the triangle is equal to the area of a rectangle of length 10 cm.
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By: guest on 01 Jun 2017 05.44 pm
From II, base : height = 5 : 12. Let base = 5x and height = 12x. Then, hypotenuse = (5x)2 + (12x)2 = 13x. From I, perimeter of the triangle = 30 cm. 5x + 12x + 13x = 30 x = 1. So, base = 5x = 5 cm, height = 12x = 12 cm. Area = 1 x 5 x 12 cm2 = 30 cm2. 2 Thus, I and II together give the answer. Clearly III is redundant, since the breadth of the rectangle is not given. Correct answer is (A).