superapplegamerbro
superapplegamerbro superapplegamerbro
  • 07-07-2021
  • Mathematics
contestada

Find the length of side xx in simplest radical form with a rational denominator.

Find the length of side xx in simplest radical form with a rational denominator class=

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CoastsideDad
CoastsideDad CoastsideDad
  • 07-07-2021

Answer:

[tex]\frac{5\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator

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msm555
msm555 msm555
  • 07-07-2021

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=5

we have

by using Pythagoras law

p²+b²=h²

x²+x²=5²

2x²=25

x²=25/2

x²=18

x=[tex]\sqrt{\frac{25}{2}}[/tex]

x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]

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