The perimeter of a triangle is 49cm. The triangleis isosceles now, but if its ba

Question

   The perimeter of a triangle is 49cm. The triangleis isosceles now, but if its base were lengthened by 2 cm and eachleg weere shortened by 6 cm, it would be equilateral. Finnd thebase of the original triangle.         a. 11 cm         b. 19 cm         c. 13 cm         d. 10 cm    The perimeter of a triangle is 49cm. The triangleis isosceles now, but if its base were lengthened by 2 cm and eachleg weere shortened by 6 cm, it would be equilateral. Finnd thebase of the original triangle.         a. 11 cm         b. 19 cm         c. 13 cm         d. 10 cm

Explanation / Answer

Well you can just right up some equations where I is anisosles side and B is the base. 2I+B=49 I-6=B+2 Now what you can do is simplify the second problem. I=B+8 You can now plug it into the first problem: 2(B+8)+b=49 2B+16+b=49 3B=33 b=11 cm. So the answer is A

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