Question

4. The shorter side of a triangle is 5 cm less than the medium size side. The larger side is
12 cm more than the medium size side. If the perimeter of the triangle is 40 cm, find
the size of each side of the triangle.​​

Answer 1

Answer:

shorter side=6

medium side=11

larger side=23

Step-by-step explanation:

Make a sketch of the triangle and choose a variable to represent the medium side. I used (y) as the variable. according to the information in your question, the shorter side is (y-5) & the larger side (y+12). Hence perimeter is:

(y-5) + y + (y+12) = 40

removing the brackets, the above expression simplfies to :

3y + 7 = 40

3y=33

y = 11

if y=11:

shorter side = 11 -5=6

medium = y = 11

larger side =  y + 12 = 11 + 12= 23