Find the length of the unknown side. Round your answer to the nearest whole number.
Image of a right triangle with legs labeled 7 meters each. The hypotenuse is unknown.

7 meters
9 meters
10 meters
12 meters

Respuesta :

7^{2} + 7^{2} = C^{2} 
49 + 49 = C^{2} 
98 = C^{2} 
9.8 ≈ C
10 ≈ C
C = hypotenuse 

Suppose ABC is a right triangle with B = 90°.

Then, by Pythogoras theorem,

[tex]AC^{2} =AB^{2} + BC^{2}[/tex]

[tex]= 7^{2} + 7^{2}[/tex]

[tex]= 2(7^{2})[/tex]

[tex]AC = 7\sqrt{2}[/tex]

= 7 × 1.414

= 9.898

≅ 10 meters