SOLUTION: One side of a triangle is 2 cm
shorter than the base. The other side is 3 cm longer than
the base. What lengths of the base will allow the
perimeter to be greater than 19 cm?”
Algebra.Com
Question 301960: One side of a triangle is 2 cm
shorter than the base. The other side is 3 cm longer than
the base. What lengths of the base will allow the
perimeter to be greater than 19 cm?”
Answer by london maths tutor(243) (Show Source): You can put this solution on YOUR website!
Let's base lenght be "b"
Shorter side = (b - 2)cm
Longer side = (b + 3)cm
Perimeter is the sum of all lengths:
b + b - 2 + b + 3 = 3b - 1
3b - 1 > 19
3b > 19 + 1
3b > 20 cm
b > (20÷3) cm
b > 6.666 cm
Answer: The base length has to be greater than 6.67cm.
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