which statements are true about triangle qrs? select three options. the side opposite ∠q is rs. the side…

which statements are true about triangle qrs? select three options. the side opposite ∠q is rs. the side opposite ∠r is rq. the hypotenuse is qr. the side adjacent to ∠r is sq. the side adjacent to ∠q is qs.

which statements are true about triangle qrs? select three options. the side opposite ∠q is rs. the side opposite ∠r is rq. the hypotenuse is qr. the side adjacent to ∠r is sq. the side adjacent to ∠q is qs.

Answer

Explanation:

Step1: Recall triangle - side relationships

In a triangle, the side opposite an angle is the side that does not form that angle. The hypotenuse is the side opposite the right - angle in a right - triangle.

Step2: Analyze side opposite ∠Q

The side opposite ∠Q is the side that does not have Q as one of its endpoints. So, the side opposite ∠Q is $\overline{RS}$.

Step3: Analyze side opposite ∠R

The side opposite ∠R is the side that does not have R as one of its endpoints. So, the side opposite ∠R is $\overline{QS}$, not $\overline{RQ}$.

Step4: Identify the hypotenuse

Since ∠S = 90°, the hypotenuse is the side opposite ∠S, which is $\overline{QR}$.

Step5: Analyze side adjacent to ∠R

The sides adjacent to ∠R are $\overline{RS}$ and $\overline{RQ}$, not $\overline{SQ}$.

Step6: Analyze side adjacent to ∠Q

The sides adjacent to ∠Q are $\overline{QS}$ and $\overline{QR}$.

Answer:

The side opposite ∠Q is $\overline{RS}$; The hypotenuse is $\overline{QR}$; The side adjacent to ∠Q is $\overline{QS}$