For the right triangle shown below, z² = y² - x², which is equivalent to this equation?
A. y² = x² + z²
Proof:
Let's show that,
z² = y² - x² is equal to y² = x² + z²
we simply need to re-arrange the given to look exactly like our answer,
z² = y² - x²
let's switch side,
y² - x² = z²
now let's add x² to both sides
y² - x² +x² = z² +x²
the x² cancels out as they are equal to zero, so
y² = z² + x²
Let's re-arrange it so that it now looks exactly the same as the answer,
Hence we have proven that
* as always, double check my answers for errors or carelessness.
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Answers & Comments
For the right triangle shown below, z² = y² - x², which is equivalent to this equation?
A. y² = x² + z²
Proof:
Let's show that,
z² = y² - x² is equal to y² = x² + z²
we simply need to re-arrange the given to look exactly like our answer,
z² = y² - x²
let's switch side,
y² - x² = z²
now let's add x² to both sides
y² - x² +x² = z² +x²
the x² cancels out as they are equal to zero, so
y² = z² + x²
Let's re-arrange it so that it now looks exactly the same as the answer,
y² = x² + z²
Hence we have proven that
z² = y² - x² is equal to y² = x² + z²
* as always, double check my answers for errors or carelessness.
#NO TO GUESS GUESS, TSAMBA TSAMBA & COPY PASTE SOLUTION!
≧◠‿◠≦✌
✓✓✓ Press that brainliest button if this was helpful. ✓✓✓
• • • Follow for more math solutions and fun facts! • • •