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Anna [14]
3 years ago
15

For a triangle with the length of its sides of 5/36, 1/3 and 13/36, determine if it is a right triangle?

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Yes it is. Input the numbers into the pythagorean theorem,

{a}^{2}  +  {b}^{2}  =  {c}^{2}

and if they equal each other it is a right triangle.

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Answer:

The value of cos Ф is ± \frac{1}{2}

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

  • sin²Ф + cos²Ф = 1
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∵ sin Ф = \frac{\sqrt{3}}{2}

∴ sin²Ф = (\frac{\sqrt{3}}{2})^{2}

∴ sin²Ф = \frac{3}{4}

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - \frac{3}{4}

∴ cos²Ф = \frac{1}{4}

→ Take square root for both sides

∴ cos Ф = ± \frac{1}{2}

∴ The value of cos Ф is ± \frac{1}{2}

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83 - 56 = 27

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