Respuesta :

wegnerkolmp2741o

Answer:

x = 4sqrt(2)

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

x^2 + 7^2 = 9^2

x^2 +49 = 81

Subtract 49 from each side

x^2 = 81-49

x^2 =32

Take the square root of each side

sqrt(x^2) = sqrt(32)

x = sqrt( 16*2)

x = sqrt(16) sqrt(2)

x = 4sqrt(2)

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Answer:

x = 4√2

Step-by-step explanation:

The triangle is a right triangle.

Use Pythagorean theorem.

a² + b² = c²

The sum of legs squared is the hypotenuse squared.

The hypotenuse (largest side) is 9.

The legs are 7 and x.

7² + x² = 9²

49 + x² = 81

x² = 81 - 49

x² = 32

x = √32

x = √16√2

x = 4√2

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