Consider isosceles ΔXYZ.What is the value of n? What is the measure of leg XY? ftWhat is the measure of leg XZ? ft
Accepted Solution
A:
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 [tex]n=\frac{-18}{-6}[/tex] n=32) 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