SOLUTION: In an isosceles triangle the base is a whole number and is 4 ft. less than the sum of the two equal sides. The perimeter is a whole number between 0 and 75 feet. Find the possible

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Question 172291: In an isosceles triangle the base is a whole number and is 4 ft. less than the sum of the two equal sides. The perimeter is a whole number between 0 and 75 feet. Find the possible lengths of the equal sides.
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see the Isosceles Triangle:
drawing%28400%2C400%2C-4%2C4%2C-1.5%2C9%2Ctriangle%28-3%2C0%2C0%2C8%2C3%2C0%29%2Clocate%28-2%2C5%2Ca=x%29%2Clocate%282%2C5%2Ca=x%29%2Clocate%28-1%2C-.5%2Cb=x%2Bx-4%29%2Cred%28locate%28-.5%2C-.90%2Cb=34ft%29%29%2Cred%28locate%282%2C4%2Ca=19ft%29%29%2Cred%28locate%28-3%2C4%2Ca=19ft%29%29%29%29
It follows: P%5BT%5D=2a%2Bb
Since Perimter is between 0-75ft, we take P=72ft. Then,
72ft=2x%2Bx%2Bx-4
72%2B4=4x
76=4x ---------->cross%2876%2919%2Fcross%284%29=cross%284%29x%2Fcross%284%29
highlight%28x=19ft%29 =a, The 2 equal sides
For the base:
b=19%2B19-4=38-4=34ft
Check:
72=2%2A19%2B34
72=38%2B34
72ft=72ft
*Note: The computed values are based on taking the Perimeter as 72ft. Try max 75ft?
Thank you,
Jojo