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    Question

    The sides of a triangle are in the ratio 5 : 12 : 13 and

    its perimeter is 90 cm. Find its area (in cm²).
    A 150 Correct Answer Incorrect Answer
    B 270 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 60 Correct Answer Incorrect Answer

    Solution

    Let the sides of the triangle be 5y, 12y, 13y. According to the question, 5y + 12y + 13y = 90 ⇒ 30y = 90 ⇒ y = 3 So, the sides of the triangle are. 5y=5× 3=15 cm 12y=12 x 3 = 36 cm 13y=13 x 3 = 39 cm   Now, the area of the triangle = (1/2) x 36 x 15 18 x 15 = 270 cm² The area of the triangle is 270 cm².

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