Since we have a right triangle we can use the pythagorean theorem to find the length of side QR. Doing so, we have:
![\begin{gathered} a^2+b^2=c^2\text{ } \\ (17)^2+b^2=(28)^2\text{ (Replacing)} \\ 289+b^2=784\text{ (Raising each number to the power of 2)} \\ b^2=784-289\text{ (Subtracting 289 from both sides of the equation)} \\ b^2=495\text{ (Subtracting)} \\ b=\sqrt[]{495}\text{ (Taking the square root of both sides)} \\ b=22.248 \\ \text{The length of side QR is 22.2 (Rounded to the nearest tenth) } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ajuyesyd2iy8zwvqnefxagz7ld7enggjyh.png)
Since we have the hypotenuse and the opposite length of angle R,then we can formulate the following equation with the ratio sine:

Since we have the hypotenuse and the adjacent length of angle P,then we can formulate the following equation with the ratio cosine:
