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Tju [1.3M]
3 years ago
9

What is the value of x and y

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:

x = +2√21 and y = +2√30

Step-by-step explanation:

The two marked sides of the smaller triangle are x and y.  The third side has length equal to 14 - 8, or 6.

We can thus write two equations in x and y:

x^2 = y^2 + 6^2

and

y     6

-- = ---

8     y

Solving the first equation for y^2 yields y^2 = 36 - x^2.  Solving the second equation for y^2 yields 48.  Thus 36 - x^2 = 48, and

x^2 = 84.  Thus, x = +√7*√4*√3, or x = +2√21.

We now find y.  y^2 = 36 = x^2, which here becomes

y^2 = 36 + 4(21) = 36 + 84 = 120.  Thus, y = +√4*√30, or y = +2√30.



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