Question

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

Answer 1

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

Answer 2

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

Then, by Pythogoras theorem,

`AC^(2) =AB^(2) + BC^(2)`

`= 7^(2) + 7^(2)`

`= 2(7^(2))`

`AC = 7√(2)`

= 7 × 1.414

= 9.898

≅ 10 meters