Find the exact value of x.
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calendarEducator since 2013
write464 answers
starTop subjects are Math and Science
This is a special right triangle, called a 45˚-45˚-90˚.
In a 45-45-90 triangle the sides opposite 45˚ must be equal. The ratios of the sides are 1:1:`sqrt(2).`
Since the hypotenuse is 5, to find the length of x, we would divide by `sqrt(2).`
`:. 5/sqrt(2)` Must rationalize the denominator.
`5/sqrt(2)*sqrt(2)/sqrt(2) = (5sqrt(2))/2`
The solution for x is `(5sqrt(2))/2.`
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calendarEducator since 2013
write151 answers
starTop subjects are Math, Science, and Arts
This is an isosceles right triangle (45-45-90), where the two legs are equal and equal to
leg=leg=hypotenuse/`sqrt2`
Thus `x=5/sqrt2`
This is an Isosceles right triangle 45-45-90, where the two legs are equal
`A^2 + B^2 = C^2`
`B^2 + B^2 = C^2`
`X^2 + (sqrt(2)) = 5`
thus
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