Which expression helps you find the length x of a side of a rectangle that has a diagonal of 17 units and a width of 8 units?

Respuesta :

Answer:

x = 15 units

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles where the diagonal is the hypotenuse

Using Pythagoras' identity to find x

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15 units