Problem 2 · Recognize structure (triples) · 3 points
Made by AI and not reviewed by a real person.
A rectangle is 6 wide and 8 tall. How long is its diagonal?
- 9
- 10
- 14
- 12
- 11
Show a hint
- Draw the diagonal and look at the shape it makes with two sides of the rectangle. What kind of triangle is it?
- The width and height are the legs of a right triangle, and the diagonal is its hypotenuse. How are the squares of those three lengths related?
Show the answer and solution
Answer: B — 10
The diagonal is the hypotenuse of a right triangle with legs 6 and 8. By the Pythagorean theorem, d² = 6² + 8² = 36 + 64 = 100, so d = 10. The choice 14 comes from adding 6 and 8, but that gives the length of a path along two sides of the rectangle, not the diagonal.