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