Question

The legs of an isosceles triangle have lengths 2x + 3 and 3x - 4. The base has length 4x – 2. What is the

length of the base?
A. 17
C. 7
B. 26
D. cannot be determined

Answer 1

B

Explanation:

In a Isosceles triangle, the two legs are the same, so in order to find x we can make the following equation:

2x + 3 = 3x - 4

2x = 3x - 7

x = 7

Now all we have to do is replace the x!

4(7) - 2 = 26

Answer 2

2x+3 = 3x-4

3 = 1x-4

3+4 = 1x

7 = 1x

x = 7

Base:

4x-2 = 4(7)-2

= 28-2

= 26