Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.

Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.

How many of his triangles are obtuse?

1
2
3
4

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Lanuel Lanuel · Answer 1 · 2022-06-21T20:41:19+02:00

Based on the calculations, the number of Jamal's triangle that are obtuse are: C. 3.

In order to determine an obtuse triangle, we would apply Pythagorean theorem:

c² = a² + b²

Where:

For an obtuse triangle, the square of the hypotenuse is greater than the sum of the square of both the adjacent and opposite side:

c² > a² + b²

For Triangle 1, we have:

7² > 6² + 3²

49 > 36 + 9

49 > 45 (obtuse triangle).

For Triangle 2, we have:

8² > 6² + 3²

64 > 36 + 9

64 > 45 (obtuse triangle).

For Triangle 3, we have:

8² > 7² + 3²

64 > 49 + 9

64 > 58 (obtuse triangle).

For Triangle 4, we have:

8² > 6² + 7²

64 > 36 + 49

64 < 85 (not obtuse triangle).

Read more on Pythagorean theorem here: https://brainly.com/question/16176867

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