Question

I NEED HELP ASAPPPPP 6

Directions - Create a Pythagorean Theorem equation for the diagram, then solve for
the unknown side. If necessary, round to two decimal places.
X
9
Equation:
X =

Answer 1

9²=6²+?²

81-36=?²

?=√45=3√5

Answer 2

The Pythagorean theorem equation is

`{9}^(2) = {6}^(2) + {x}^(2)`

and x is 6.71

How the value of x was determined.

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a) and (b).

`{c}^(2) = {a}^(2) + {b}^(2)`

From the figure

The angle opposite to side of measure 9 is 90⁰ as indicated in the figure.

`{9}^(2) = {6}^(2) + {x}^(2)`

81 = 36 + x²

x² = 81-36

x² = 45

`x = √(45)`

x = 6.708

x = 6.71 approximately.

The Pythagorean theorem equation is

`{9}^(2) = {6}^(2) + {x}^(2)`

and value of x is 6.71