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Brums [2.3K]
2 years ago
5

Geometry Pythagorean theorem

Mathematics
2 answers:
weeeeeb [17]2 years ago
7 0

Answer:

  • 6. x = 10
  • 7. x = 26
  • 8. x = 15

Step-by-step explanation:

<u>Question 6:</u>

  • x² = 8² + 6²
  • => x² = 64 + 36
  • => x² = 100
  • => x = 10

<u>Question 7:</u>

  • x² = 24² + 10²
  • => x² = 576 + 100
  • => x² = 676
  • => x = 26

<u>Question 8:</u>

  • x² = 12² + 9²
  • => x² = 144 + 81
  • => x² = 225
  • => x = 15

Zepler [3.9K]2 years ago
5 0

Answer:

6. x = 10 ,  7. x =26   ,  8. x = 15

Step-by-step explanation:

Using Pythagoras theorem,

6)

x² = 8² + 6²

x = √64+36

x = √100

x = 10

7)

x² = 24² + 10²

x = √576+100

x = √676

x = 26

8)

x² = 9² + 12²

x = √81 + 144

x = √225

x = 15

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skelet666 [1.2K]

Answer:

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Step-by-step explanation:

Hello!

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4 0
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Read 2 more answers
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
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      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
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Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
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