Question

Find x, y, and z.

Answer options:

x = 5, y = 9, z ≈ 4.5

x ≈ 4.5, y = 5, z = 9

x ≈ 4.5, y = 9, z = 5

x = 9, y ≈ 4.5, z = 5

Answer 1

First, we use the pythagorean theorem in the lower right triangle (with sides 4,x,6) and find x^2+4^2=6^2 and therefore x^2=6^2-4^2=20 so x=√20 which is approximately 4.5.

Also, we can see from the picture that z=y+4, and therefore the only option left is x=4.5,y=5,z=9.

Answer 2

x=4.5,y=5,z=9

Explanation:

First, we use the pythagorean theorem in the lower right triangle (with sides 4,x,6) and find x^2+4^2=6^2 and therefore x^2=6^2-4^2=20 so x=√20 which is approximately 4.5.

Also, we can see from the picture that z=y+4, and therefore the only option left is x=4.5,y=5,z=9.