Alternate equation Pythagorean Theorem

Pythagorean equations

"other" ways to find a missing side length.

a² + b² = c²

Traditional Pythagorean Theorem

Missing Hypotenuse

alternate form....

 $c\ =\sqrt{a^2+b^2}$    Take the square root of the SUM of the squares.

Alternate Theorem, missing leg measure.

Suppose the missing side measure is leg "b"....

Solve for the missing square.

Suppose the missing leg is "a"........

Alternate Theorem, missing leg measure.

Take the square root of the DIFFERENCE of the squares.

Multiple Choice

Which equation CAN NOT be used to find the value of "a"?

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   $\sqrt{26^2\ -24^2}=a^{ }$  

•  $24^2-26^2=a^2$  

•  $26^2-24^2=a^2$  

Multiple Choice

Which equation CAN NOT be used to find the value of 'a'?

• 12² - 11² = a²

• a² + 11² = 12²

• a² - 11² = 12²

Radical form/ exact answer.

Multiple Choice

 $\sqrt{23}$  is between which two consecutive integers?

• 11 & 12

• 4 & 5

• 5 & 6

Multiple Choice

 $\sqrt{125}$  is between which two consecutive integers?

• 62 & 63

• 10 & 11

• 11 & 12