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Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

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right triange
hypotonuse (long side, oposite right angle)
and 2 legs
relationship between them is
a and b are legs
c=hypotnuse legnth
a^2+b^2=c^2

so
if legs are 1
1^2+1^1=c^2
1+1=c^2
2=c^2
sqrt both sides
√2=c

hypotnuse=√2 units
User Sotiris Panopoulos
by
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Isosceles means that In a triangle any two sides are equal in length.. As it is a right angled triangle, so its two sides are of 1 unit length and there is one hypotenuse length of which is to be found.. So,H2=12+12 H=2√ Hypotenuse Length = 2√ units.. hope this helps
User Frank Fang
by
8.1k points

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