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Pls help im not sure how to get this

Pls help im not sure how to get this-example-1

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Answer:

use Pythagoras theorem

Explanation:

  • get the opposite square it plus the adjacent side square it also should be equal to the hypotune squared also
  • x² + (X +17)²= 25² expand (X+17)²
  • x² + x² + 17² + 34x = 625
  • 2x² + 34x + 289 = 625 get 625 minus 289
  • 2x² + 34 x = 336 divide through by 2
  • X²+ 17 X = 168
  • solve the quadratic equation using any method
  • if I use bulldozer method
  • a=1 b=17 c=-168
  • put in that quadratic formula

x=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side

therefore take X=7 as the answer

User Jan Van Der Burgt
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