The correct answers are:
1. A. y, z, and Y
2. C. z and X
3. B. Pythagorean theorem
4. A. Z
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