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Len [333]
2 years ago
9

Pythagorean Theorem with Known Legs

Mathematics
2 answers:
stepan [7]2 years ago
5 0

you're given the pythagorean theorem, which is a^2 + b^2 = c^2.

what you're trying to find is ?, which is the number under the radical.

let's pretend one leg is a and the other is b.

a = 9

b = 10

so let's plug it into the equation. we get 9^2 + 10^2 = c^2

so that equals 81 + 100 = c^2

181 = c^2

so c will equal the square root of 181. therefore, ? = 181.

hope i helped! good luck.

VMariaS [17]2 years ago
4 0

Answer:

\boxed{\sf{C=\sqrt{181} }}

Step-by-step explanation:

Use the Pythagorean theorem formula.

<u>Pythagorean theorem formula:</u>

\Longrightarrow \sf{A^2+B^2=C^2}

A²=9

B²=10

C²=???

9²+10²=c²

Use the order of operations.

<u>PEMDAS stands for:</u>

  • Parentheses
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

<u>Do exponents.</u>

9²=9*9=81

81+10²=c²

10²=10*10=100

<u>Rewrite the problem down.</u>

81+100=c²

<u>Then, add.</u>

81+100=181

\longrightarrow \boxed{\sf{181}}

The missing length of c is 181.

Therefore, the correct answer is 181.

To learn more about Pythagorean theorem:

brainly.com/question/26183488

#SPJ1

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Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,…..  <u>is AP</u>

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2…..  <u>is AP</u>

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Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

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The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

<u>So, option a is not AP</u>

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

<u>So, option b is AP</u>

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• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

<u>The common difference</u> = 1/2

<u>3 more terms are</u> ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

<u>So, the options that form an AP are b and c</u>

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