Question

6 Given: TY XY, ZTVY = ZXWY Prove: ATVY = AXWY Statements Reasons 1. TY ~ XY 1. Given 2. Given 2. LTVY & LXWY 3. 3. 4. 4. 5. 5. OTVY Z OXWY Gina wison All Things Aige

Answer 1

Statement 3:

$TV\cong XW$

Reason: Law of cosines

Statement 4:

$VY\cong WY$

Reason: Law of cosines

Proof

We have the following situation:

Because the law of cosines,

$\begin{gathered} a^2=c^2+d^2-2cd\cos (b) \\ a^2=e^2+f^2-2ef\cos (b) \end{gathered}$

Therefore,

$c^2+d^2-2cd\cos (b)=e^2+f^2-2ef\cos (b)$