The base of an isosceles triangle is 7cm more than a leg. If the perimeter is 52cm. what is the length of the base? Answer: The base is 22 cm. Step-by-step explanation: An isosceles triangle has two equal legs and a base. Measure of one leg: x Measure of base: x+7 Perimeter: 52 cm Equation: Perimeter of triangle = Side 1 + Side 2 + Side 3 52 = (x) + (x) + (x+7) 52 = 3x + 7 3x = 52-7 3x/3 = 45/3 x = 15 Substitute: Leg 1 : x = 15 cm Leg 2 : x = 15 cm Base : x+7 ⇒ 15+7 = 22 cm Check: 15 cm + 15 cm + 22 cm = 52 cm 52 cm = 52 cm (True)
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