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07-07-2021
Mathematics

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The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

The triangle below is isosceles Find the length of side x in simplest radical form with a rational denominator class=

Respuesta :

07-07-2021

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

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

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