MATH SOLVE

10 months ago

Q:
# 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

XZ=39ft

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

XZ=39ft