4.02 Special right triangles and exact value trigonometric ratios
Interactive practice questions
Consider the triangle below.
Complete the table of values by entering the corresponding values for $b$b and $c$c, given particular values of $a$a.
| $a$a | $b$b | $c$c |
|---|---|---|
| $1$1 | $\editable{}$ | $\editable{}$ |
| $2$2 | $\editable{}$ | $\editable{}$ |
| $3$3 | $\editable{}$ | $\editable{}$ |
Suppose that $a$a has a length of $x$x units. What is the length of $b$b in terms of $x$x?
Suppose that $a$a has a length of $x$x units. What is the length of $c$c in terms of $x$x?
Therefore, which two of the following statements are true for any isosceles right triangle?
The two shortest sides have the same length.
The length of the hypotenuse is $\sqrt{2}$√2 times larger than either of the other side lengths.
Any two sides have the same length.
The length of the hypotenuse is the square root of the sum of the other side lengths.
Consider the triangle below.
Consider the triangle below.
Consider the triangle below.