The perimeter of a triangle with two equal sides is 46 cm. if its base were lengthened by 4 cm and each leg were shortened by 7 cm, all three sides would be equal. find the length of the base of the original triangle.

4cm

Step-by-step explanation:

a+b+c=46 (b=c   two equal sides)

a+2b=46

a+4=b-7

b=a+11

a+2a+22=46

3a=24

a=8 (length  of base after lengthened)

b=19

b=19

8-4=4  (length of base of original triangle)

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1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft