Question

Find the length of x.

Answer 1

Explanation:

Since the side marked by the bar is 7, the other side marked by the bar is also 7. Since the angle is 90°, it is a right triangle. Apply the Pythagorean theorem:

`i = \sqrt{c {}^(2) + c {}^(2) }`

`i = \sqrt{ {7}^(2) + {7}^(2) }`

`i = \sqrt{2 * 7 {}^(2) }`

`i = 7 √(2)`

Answer 2

x = 7
`√(2)`

Explanation:

note the 2 legs are congruent and equal 7

using Pythagoras' identity in the right triangle

x² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

x =
`√(98)` =
`√(49(2))` =
`√(49)` ×
`√(2)` = 7
`√(2)`