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.

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  obtuse

Step-by-step 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.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

d

step-by-step explanation: