QuestionWhich statement about a $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ triangle with hypotenuse $\sqrt{2}$ is true?

Studdy Solution
Statement D The length of the hypotenuse of a special $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ right triangle is equal to twice the length of a leg opposite the $\frac{\pi}{4}$ angle.
We know that the length of the hypotenuse is $a\sqrt{2}$, and we found that $a =1$. So, the length of the hypotenuse is $\sqrt{2}$, not2. So, statement D is false.
The only true statement is A The length of the leg opposite either of the $\frac{\pi}{4}$ angles of a special $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ right triangle with a hypotenuse of $\sqrt{2}$ is equal to1.