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Find the value of X! Please help!

Find the value of X! Please help!-example-1
User Sukumar MS
by
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1 Answer

3 votes
ANSWER


x = 8 √(3)

Step-by-step explanation


{h}^(2) = {y}^(2) + {4}^(2)
This implies that,


{h}^(2) = {y}^(2) + 16...eqn1

Also,


{h}^(2) + {x}^(2) = {16}^(2) ...eqn2

And


{y}^(2) + {12}^(2) = {x}^(2)


{y}^(2)={x}^(2) - 144 ...eqn3

Put equation 1 into equation 2.

This will give us,


{y}^(2) + 16 + {x}^(2) = {16}^(2)


{y}^(2) +{x}^(2) = {16}^(2) - 16


{y}^(2) +{x}^(2) =16 ( 16 - 1)


{y}^(2) +{x}^(2) =240...eqn4

We put equation 3 into equation 4,


{x}^(2) - 144+{x}^(2) =240

We simplify to get,


2 {x}^(2) = 384


{x}^(2) = 192


x = √(192)


x = 8 √(3)
User Kevin Cunnane
by
5.1k points
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