Question

The triangle is a 45°-45°-90° triangle.x√2 = 66²36X =(√2)²x = 18Did not multiply the numerator by the radicalShould have squared the denominator only.No ErrorShould have squared the numerator onlyJUN1O6V2=82

Answer 1

Did not multiply the numerator by the radical

Step-by-step explanation:

The hypotenuse of a 45-45-90 triangle is equal to the leg times √2.

In this case, the leg is x and the hypotenuse is 6, so we have the following equation

hypotenuse = leg √2

6 = x √2

To solve for x, we get

`\begin{gathered} x√(2)=6 \\ \\ x=(6)/(√(2)) \end{gathered}`

Then, we need to multiply the numerator and denominator by √2, so

`x=(6)/(√(2))\cdot(√(2))/(√(2))=(6√(2))/((√(2))^2)`

Therefore, the solution is equal to

`x=(6√(2))/(2)=3√(2)`

Therefore, the error in the process was that they did not multiply the numerator by the radical