Question

Each of two equal sides of a triangle is 3cm less than twice the third side. If the perimeter of the triangle is 69 cm, find the lengths of its sides.

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

We don't know what the length of the 3rd side is, so we'll call this length "x"

We do know the other 2 side lengths. They are each 3x - 4.

If all three side lengths gives us a perimeter of 55 then

all we have to do is add up all three sides. This gives

us an equation.....

3x - 4 + 3x - 4 + x = 55 Now just solve...

7x - 16 = 55

7x -16 + 16 = 55 + 16

7x = 63

7x/7 = 63/7

x = 9

This value of "x" is the length of the third side. If we

substitute it into the expression for the other two sides, 3x - 4,

we get....

3x - 4

3(9) - 4

27 - 4

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