Question

The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?

A. 6
B. Cannot be determined
D. 4

Answer 1

the answer is 6 i took the test

Answer 2

Since you've told us that this is an isosceles triangle, we know that the 'legs' have equal length. So we can write

x + 1 = -x + 7

Add 'x' to each side: 2x + 1 = 7

Subtract 1 from each side: 2x = 6

Divide each side by 2 : x = 3

Now, if the length of the base is 3x - 3 ,
that length is

3(3) - 3 = 6 .