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4vir4ik [10]
3 years ago
11

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.

<h3><u>Part (b)</u></h3>

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

  • a = 7
  • b = 8
  • c = 9

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is <u>not</u> a right triangle.

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s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}

where \bar x=22 is the mean. Since

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you have variance

s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37

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4 years ago
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1. A

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Step-by-step explanation:

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Answer:

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