Respuesta :

wegnerkolmp2741o

Answer:

x = sqrt( 4^2 + 7^2)

Step-by-step explanation:

They want the equation to solve the triangle

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and be are the legs and c is the hypotenuse

4^2 + 7^2 = x^2

Take the square root of each side

sqrt(4^2 + 7^2) = sqrt(x^2)

sqrt( 4^2 + 7^2) = x

gmany

Answer:

[tex]\large\boxed{x=\sqrt{7^2+4^2}=\sqrt{65}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=7,\ leg=4,\ hypotenuse=x[/tex]

Substitute:

[tex]x^2=7^2+4^2\to x=\sqrt{7^2+4^2}[/tex]

[tex]x=\sqrt{49+16}\\\\x=\sqrt{65}[/tex]

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