Question

A triangle has one side that measures 12, another side that measures x, and a third side that measures 4 less than x. The perimeter is 26. Which equation would we use to find the value of x?

A x + x - 4 = 26
B x + x - 4 + 12 = 26
C x + x + 4 + 12 = 26
D x + x + 4 = 26

Answer 1

The answer is B x+x-4+12=26

Answer 2

The equation is 26 = 12 + x + (x-4) and the value of x is 9

Explanation:

We are given that a triangle has sides measuring 12, x and 4 less than x.

So, the sides of this triangle are 12 , x , x-4.

Also, perimeter of this triangle is given to be 26.

Since, Perimeter of a triangle = side + base + side.

Thus, 26 = 12 + x + (x-4)

i.e. 26 = 2x + 8

i.e. 26 - 8 = 2x

i.e. 18 = 2x

i.e. x = 9.

Hence, the equation to find x is 26 = 12 + x + (x-4) and the value of x is 9.