Question

question
drag the vertices of $\triangle opq$ to form a scalene right triangle.

Explanation:

Step1: Define scalene right triangle

A scalene right triangle has one 90° angle, and all 3 sides of different lengths.

Step2: Adjust vertices for right angle

Move vertex $P$ so that $\angle P = 90^\circ$, ensuring:

• $OP \perp PQ$
• $OP

eq PQ
eq OQ$

Step3: Verify side lengths

Set side lengths to distinct values, e.g.:

• $OP = 6$, $PQ = 8$, $OQ = 10$ (all distinct, right angle at $P$)

Answer:

Adjust the vertices so that one angle is exactly 90°, and all three sides have different lengths. For example, position vertex $P$ to make $\angle P = 90^\circ$, with $OP = 6$, $PQ = 8$, and $OQ = 10$ (or any other set of distinct side lengths satisfying the Pythagorean theorem $a^2 + b^2 = c^2$ where $a
eq b
eq c$).