By calling the length of the shortest side "x"cm form an equation in x and calculate the length of each side of the triangle.

Question

the total length of the three sides of a triangle is 45.5cm and two of the sides are respectively 2 and half times and 3 and half the third sides. By calling the length of the shortest side "x"cm form an equation in x and calculate the length of each side of the triangle.

Answer 1

The first equation we get is:

Side 1 + Side 2 + Side 3 = 45.5 cm

 

We are also given the following 3 equations:

 

Side 1 = X

Side 2 = 3.5X

Side 3 = 2.5X

 

45.5 cm = 2.5X + 3.5X + X

 

Simplify

 

45.5 cm = 7X

 

Divide both sides by 7

 

X = 6.5 cm

 

Substitute X to solve for the 3 sides

 

Side 1 = 6.5 cm
Side 2 = 3.5 x 6.5 cm = 22.75 cm
Side 3 = 2.5 x 6.5 cm = 16.25 cm

Verify 6.5 cm + 22.75 cm + 16.25 cm = 45.5 cm