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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
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