Respuesta :

wegnerkolmp2741o

Answer:

a=6

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 + 8^2 = 10^2

a^2 + 64= 100

a^2 +64-64 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Answer:

a = 6

  • The length of side a is 6.

Step-by-step explanation:

According to the question,

Using Pythagorean theorem

( a )² + ( b )² = ( c )²

  • Where, a and b are the base and c is the length of hypotenuse.

( a )² + ( 8 )² = ( 10 )²

evaluate the exponent

a ² + 64 = 100

subtract 64 from each side

a ² + 64 - 64 = 100 - 64

a ² = 36

Take the square root of each side

√a² = √36

a = 6

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