Question

What is the value of x?

Enter your answer in the box.


cm

Answer 1

From the given figure,
`\triangle TYK \:and \:\triangle TYV` are congruent

`\Rightarrow` TY = TY

`\Rightarrow` angle TYK = angle TYV =90 and

`\Rightarrow` angle YTK = angle YTV (from the figure)

By ASA postulate,
`\triangle TYK \cong \triangle TYV`

`\Rightarrow (TK)/(TV) = (YK)/(YV) \\\\ \Rightarrow (168)/(95.2) = (YK)/(34) \\\\ \Rightarrow YK=(168)/(95.2)*34=60`

x = VY+YK = 34 +60 = 94

Hence , x= 94 cm

Answer 2

YK/168 = 34/95.2
YK = 168 * 34 / 95.2
YK = 60

so
x = 34 + 60
x = 94

answer
x = 94 cm