QUESTION: The perimeter of a triangle ABC is 24cm. AC is 4 cm longer than BC. find x and y.
BC =2y cm, AB = y cm AC=x cm.
The perimeter of a triangle ABC is 24cm
AB + BC + CA = 24
y + 2y + x = 24
3y + x = 24 --------------------------------- (1)
AC is 4 cm longer than BC
AC = BC + 4
x = 2y + 4 ---------------------------------- (2)
From (2), x = 2y + 4. Substitute for this into (1).
3y + 2y + 4 = 24
5y = 20
y = 4
x = 2y + 4 8 + 4 = 12
Answer: x = 12, y = 4