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?

Answer 1

The base is 6.

In order to find this, we can set the legs equal to each other since legs have the same length in an isosceles triangle.

x + 1 = -x + 7

2x + 1 = 7

2x = 6

x = 3

Now that we have the value for x, we can plug into the equation to get the value for the base.

3x - 3 = base

3(3) - 3 = base

9 - 3 = base

6 = base

Answer 2

Heya!!

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Since length of two legs are equal..

=) x+1 = - x+7

=) x+x = 7-1

=) 2x = 6

=) x = 6/2 = 3

Hence base = 3(3) - 3

= 9-3

= 6.

Hope it helps!!