Respuesta :

TW = 8

Step-by-step explanation:

We can see that a right angles triangle is formed by TWY where

Base = TY = 15

Hypotenuse = WY = 17

Perpendicular = TW = ?

So we have to find the perpendicular

As the triangle is a right angled triangle, Pythagoras theorem can be used

[tex]H^2 = B^2 + P^2\\(WY)^2 = (TY)^2 + (TW)^2\\(17)^2 = (15)^2 + (TW)^2\\289 = 225 + TW^2\\(TW)^2 = 289-225\\(TW)^2=64[/tex]

Taking square root on both sides

[tex]\sqrt{(TW)^2} = \sqrt{64}\\TW = 8[/tex]

Hence,

TW = 8

Keywords: Triangles, Pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/551442
  • brainly.com/question/5503146

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