Question

The value of x is:

10.
100.
10.
None of these choices are correct.

Answer 1

x = 100

Explanation:

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 , that is

x² + x² = (100
`√(2)` )²

2x² = 20,000 ( divide both sides by 2 )

x² = 10,000 ( take square root of both sides )

x =
`√(10,000)` = 100