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The perimeter of a triangle is 49 cm. One side is 7cm longer than another side and 5cm shorter than the third side. Find the sides.. |
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Answer» 17, 10 and 22Step-by-step explanation:Let the sides are a , b and c. Here, first SIDE = a = 7 more than b = 5 less than c ⇒ a = 7 + b = c - 5⇒ a - 7 = b & a + 5 = c Given, ⇒ Perimeter = 49 ⇒ Sum of all sides = 49⇒ a + ( a - 7 ) + ( a + 5 ) = 49⇒ a + a - 7 + a + 5 = 49⇒ 3a - 2 = 49⇒ 3a = 49 + 2 = 51⇒ a = 51/3 = 17 Hence sides are : a = 17A - 7 = 17 - 7 = 10A + 5 = 17 + 5 = 22 |
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