The perimeter of a triangle with two equal sides is 46 cm. if it's base were lengthened by 3 cm and each leg were shortened by 5 cm, all three sides would be equal. find the length of the base of the original triangle

The original triangle has sides of 18 cm, 18 cm and 10 cm

Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

Then

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

the k side

step-by-step explanation:

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