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What is the length of the missing leg?

What Is The Length Of The Missing Leg class=

Sagot :

Answer:

[tex]a=12[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

In this case, a = 9, b = a, and c = 15.

[tex]9^{2}+a^{2}=15^{2}[/tex]

[tex]81+a^{2}=225[/tex]

The, we subtract 81 from both sides getting:

[tex]a^{2}=144[/tex],

Then, [tex]a=12[/tex]

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