Select the correct answer from each drop-down menu.

A student begins a proof of the law of cosines. His work is shown.

Triangle XYZ has side XY labeled z, side YZ labeled x, and side ZX labeled y. Point A is shown on side ZX. Segment AY is drawn that makes a right angle with side ZX. Segment AX is labeled z times cosine of X.

The next step in the proof is to write an expression for the length of side A in terms of
A. y, z, and Y
B. x, z, and Z
C. y, z, and X.

Then the student should write an expression for the length of side AY in terms of
A. z and Y
B. x and Z
C. z and X

Next he can use the
A. law of sines
B. Pythagorean theorem
C. tangent function

to relate x, y, z and

A. Z
B. Y
C. X.

1 answer

1. C
2. A
3. B