selena2119 selena2119
  • 02-08-2018
  • Mathematics
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Find the value of y and simplify completely

Find the value of y and simplify completely class=

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agaue agaue
  • 02-08-2018

Here we have three similar triangles

In similar triangles sides are in proportion

The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.

[tex] \frac{part of hypotenuse }{altitude} =\frac{altitude}{other part of hypotenuse} [/tex]

[tex] \frac{16}{y} =\frac{y}{4} [/tex]

We cross multiply to solve for y

[tex] y^{2} =64 [/tex]

Taking root of both sides

y=8

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