Question

Find the length of each leg. 7 ft 7√2 ft √7 ft 7√2 ft 2

Please help
Thank you

Answer 1

`(7√(2) )/(2)`

Explanation:

The 2 legs are congruent.

Let the leg be x, then using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, thus

x² + x² = 7², that is

2x² = 49 ( divide both sides by 2 )

x² =
`(49)/(2)` ( take the square root of both sides )

x =
`\sqrt{(49)/(2) }`

=
`(7)/(√(2) )` ×
`(√(2) )/(√(2) )`

=
`(7√(2) )/(2)`