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Simora [160]
2 years ago
6

. 25 points .please help Pythagoras theorem.​

Mathematics
2 answers:
elixir [45]2 years ago
8 0

Step-by-step explanation:

here \: oy = ox  = b\\  then \: xy = b + b = 2b \\ using \: pythagorean \: theorom \: \\   {(xy)}^{2}  =  {(xz)}^{2}  -  {(zy)}^{2}  \\  {(2b)}^{2}  =  {41}^{2}  -  {9}^{2}  \\ 4 {b}^{2}  = 1681 - 81 \\ 4 {b}^{2}  = 1600 \\  {b}^{2}  = 1600 \div 4 = 400 \\ b =  \sqrt{400}  = 20 \\ thank \: you

Salsk061 [2.6K]2 years ago
4 0

Answer:

  • 20 cm

Step-by-step explanation:

The bottom leg is divided into equal segments, one of them is b.

It means the bottom leg is b + b = 2b.

<u>According to Pythagorean:</u>

  • 41² = (2b)² + 9²

<u>Solve for b:</u>

  • 1681 = 4b² + 81
  • 4b² = 1681 - 81
  • 4b² = 1600
  • b² = 400
  • b = √400
  • b = 20 cm
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