Respuesta :

wegnerkolmp2741o

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 9^2 = 15^2

a^2 +81 =225

Subtract 81 from each side

a^2 = 225-81

a^2 = 144

Take the square root of each side

sqrt(a^2) = sqrt(144)

a=12

doomdabomb

Answer:

a = 12 meters

Step-by-step explanation:

Use pythagorean theorem to identify the missing leg

pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

In this case, we are looking for a so...

[tex]a^2+b^2=c^2[/tex]

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

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

[tex]a^2=225-81[/tex]

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

It doesn't make sense for a to be equal to 144 so we must square root 144

144 = [tex]12^{2}[/tex] meters

Final Answer: 12 meters

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