Question

Consider isosceles ΔXYZ.

Answer 1

The value of n : 3 . ( 9x3+12 = 39 ) so leg XY equals 39
( 15x3-6 = 39 ) so that makes leg XZ equal 39 as well. 

Answer 2

1) An Isosceles triangle has three sides, in which two sides are of the same length and the third has a different length. It has two angles of the same value and a third angle with a different value, as well.

In the figure is shown that angles Y and Z are the same, then the sides of this angles must be of the same length. This means that:

XY=XZ

(9n+12)ft=(15n-6)ft      

From this equation we have to find n:

9n-15n=-6-12

-6n=-18

$n=\frac{-18}{-6}$    

n=3

2) The measure of the leg XY in ft

XY=(9n+12)ft

Substitute the value of n calculated in the first question:

XY=(9(3)+12)ft

XY=39 ft

3) The measure of the leg XZ in ft

XZ=(15n-6)ft

Substitute the value of n calculated in the first question:

XZ=(15(3)-6)ft

XZ=39ft