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Use the equation to find the length of the missing leg measure.

a^2 + 16^2 = 20^2

1. Evaluate Powers: A^2 + 256 = 400

2. Undo addition: a^2 = 144

3. Undo The square: a= 144 ( Square root )

What is the length of the missing leg measure?

a = ________ units

Respuesta :

[tex] a^2+16^2=20^2[/tex]

[tex] a^2+256=400[/tex]

Subtracting 256 from both sides

[tex] a^2=144[/tex]

Taking squareroot both sides

[tex] a= \sqrt144[/tex]

[tex] a = \sqrt2.2.3.2.2.3[/tex]

[tex] a=12[/tex]

Therefore length of missing leg is


[tex] a = 12 units[/tex]

a^2+16^2=20^2

a^2+256=400

Subtracting 256 from both sides

a^2=144

Taking squareroot both sides

a= \sqrt144

a = \sqrt2.2.3.2.2.3

 a=12

Therefore length of missing leg is  

a = 12 units

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