Question

Various pieces of string are cut at different lengths. Stephanie selects three pieces that measure 4.5 cm, 6 cm, and 8.5 cm. Determine what type of triangle Stephanie will form. Various pieces of string are cut at different lengths. Stephanie selects three pieces that measure 4.5 cm, 6 cm, and 8.5 cm. Determine what type of triangle Stephanie will form.

Answer 1

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Answer:

obtuse

Explanation:

If the triangle were a right triangle, the longest side would be found using the Pythagorean theorem:

a² + b² = c²

4.5² + 6² = c² = 20.25 +36 = 56.25

c = √56.25 = 7.5

At 8.5 cm, the longest side is longer than that necessary to make a right triangle, so the largest angle is greater than 90°.

Stephanie's triangle is an obtuse triangle.