Question

I need help!!! I just need the answer for p and i also need the answer step by step!!

Answer 1

Answer:

  x = 18

  m = 21.2

  p = 31.8

Step-by-step explanation:

The ratio of the left-side length to the bottom-side length is the same for both triangles:

  x/11.2 = (x +27)/28

  28x = 11.2(x +27) = 11.2x +302.4 . . . . . multiply by 11.2·28

  16.8x = 302.4 . . . . . . . subtract 11.2x

  x = 18 . . . . . . . . . . . . divide by 16.8

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The length of m can be found using the Pythagorean theorem. The sum of the squares of the legs is the square of the hypotenuse.

  x^2 +11.2^2 = m^2

  m = √(324 +125.44) = √449.44 = 21.2

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The length of p can also be found using the Pythagorean theorem. We prefer the proportion ...

  p/27 = m/x

  p = 27(21.2/18) = 31.8

The lengths of the unknown sides in the figure are ...

  x = 18

  m = 21.2

  p = 31.8