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22 July, 08:32

The lengths of the sides of a triangle are in the extended ratio 6 : 7 : 10. The perimeter of the triangle is 115 cm. What are the lengths of the sides?

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  1. 22 July, 11:18
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    30 cm, 35 cm and 50 cm

    Step-by-step explanation:

    Sum the parts of the ratio, 6 + 7 + 10 = 23 parts

    Divide the perimeter by 23 to find the value of one part of the ratio.

    115 cm : 23 = 5 cm ← value of 1 part of the ratio

    Thus the lengths of the sides are

    6 * 5 cm = 30 cm

    7 * 5 cm = 35 cm

    10 * 5 cm = 50 cm

    (30 + 35 + 50 = 115)
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