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A triangle has a perimeter of 50. If 2 of its sides are equal and
the third side is 5 more than the equal sides, what is the length of the third
side?



Sagot :

the third side is 20.
(2 equal sides are 15+5=20+(15+15)=50 :)
let 'x' be the length of each of the equal sides
    'y' be the length of the third side
Perimeter = x + x + y
50 = 2x + y    -----equation 1
y = x + 5       -----equation 2
substitute equation 2 to equation 1
50 = 2x + y
50 = 2x + (x + 5)
50 = 2x + x + 5
50 - 5 = 3x 
3x = 45
x = 15
since you are looking for the third side then substitute the value of x to equation 2
y = x + 5
y = 15 + 5
y = 20 units