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.

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step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet