19. Which diagram shows an obtuse scalene triangle? A. B. C. D. 15 cm 40 8 in 40 8 in 8 in 10 ft 16 m 45 18 m 15 cm 40 9 ft 40 Q Gina Wilson (All Things Alogikara) 11 / 12 12 / 13
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Recall the definitions

- A scalene triangle has no equal sides - An obtuse triangle has one angle greater than 90°

Step 3:
: Analyze each triangle's side lengths and angles

- Diagram A: 15 cm, 40°, 8 in (sides are different lengths) - Diagram B: 8 in, 40°, 8 in (two sides are equal, not scalene) - Diagram C: 10 ft, 16 m, 45° (sides are different lengths) - Diagram D: 9 ft, 40°, 18 m (sides are different lengths)

Step 4:
: Check for obtuse angle

- An angle greater than 90° will make the triangle obtuse - Looking at the given angle measurements

Step 5:
: Identify the triangle meeting both conditions

- Diagram C has:

Step 6:

Different side lengths (scalene)

Step 7:

A 45° angle, which is less than 90° - Diagram D has:

Step 8:

Different side lengths (scalene)

Step 9:

A 40° angle, which is less than 90°

Step 10:
: Conclusion

None of the diagrams show an obtuse scalene triangle.

Final Answer

There is no correct answer among the given options.