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

im not sure but either the 2nd or 4th wrong

Answer 2

?

Answer 3

\( \color{lightgreen}{c^2} = \color{lightseagreen}{a^2} + \color{lightsteelblue}{b^2} \)

\( \color{lightgreen}{c^2} = \color{lightseagreen}{7^2} + \color{lightsteelblue}{7^2} \)

\( \color{lightgreen}{c^2} = \color{lightseagreen}{49} + \color{lightsteelblue}{49} \)

\( \color{lightgreen}{c^2} = 98 \)

\( \color{lightgreen}{c} = \pm \sqrt{98} \) ( we exclude -98 as a solution since a negative number cannot be a triangle side..)

therefore \( \color{lightgreen}{c} = \sqrt{98}=\sqrt{2\times \:7\times\:7} = \sqrt{2\times\:7^2}=\boxed{7\sqrt{2}}\)

you could use a calculator to solve it and then find the answer

Answer 4

weird the image didn't want to lead

Answer 5

can u tell me the answer