You can
put this solution on YOUR website! .
One side of a triangle is 33 cm shorter than the base. The other side is 73 cm longer than the base.
What length of the base will give a perimeter of 223 cm?
~~~~~~~~~~~~~~~~~~~
Let x be the length of the base (now unknown).
According to the condition,
x + (x-33) + (x+73) = 223 (the perimeter).
Simplify and solve for x:
3x = 223 + 33 - 73
3x = 183 ====> x = 183/3 = 61.
====> The base should be 61 cm long.
Check. You should find other side lengths and check if the thriangle inequalities are satisfied.
The other sides are 61-33 = 28 and 61 + 73 = 134.
61 + 28 = 89 is less than 134 ==================> Such a triangle DOES NOT EXIST.
Answer. SUCH A TRIANGLE DOES NOT EXIST.
