SOLUTION: The perimeter of a triangle is 75 units. The sides have lengths a, b, and c. The ratio of b to a is 3:5, and the ratio of c to a is 7:5. Find the length of each side.

Question 254628: The perimeter of a triangle is 75 units. The sides have lengths a, b, and c. The ratio of b to a is 3:5, and the ratio of c to a is 7:5. Find the length of each side.
Found 2 solutions by drk, JimboP1977:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The perimeter is 75 can be expressed as
=
Now
b/a = 3/5 means that
(i) b = (3/5)a
and
c/a = 7/5 means that
(ii) c = (7/5)a
by substituting (i) and (ii) into perimeter we get

and then
multiply by 5 to get

Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
a:b:c = 5:3:7
5z+3z+7z=75 where z is the common multiple.
15z=75
z=5
So a = 5*5 = 25
b = 3*5 = 15
c = 7*5 = 35
RELATED QUESTIONS
The vertices of triangle ABC are A(1, 1), B(9, 3), and C(3, 5). (a) Find the... (answered by mananth)
the perpendicular sides of a right-angled triangle have lengths in the ratio 3:4. The... (answered by josgarithmetic)
I need help I don't know where to start or what to do I need guidance. Triangle A,B,... (answered by Theo)
The perpendicular sides of a right-angles triangle have lengths in the ratio 3:4. The... (answered by Alan3354)
The legs of a right triangle have lengths (in units) x+2 and x+6. The hypotenuse has... (answered by richwmiller)
The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The... (answered by stanbon)
please help me Triangle ABC has a perimeter of 84cm, and the sides have a ratio of 3 : (answered by ewatrrr)
Three numbers A, B, C are in ratio a: b: c if the following proportion is true:... (answered by ikleyn)
The ratio of the perimeter of triangle A to triangle b is 3:5. What is the ratio of their (answered by Alan3354)