bluemonkeys6328 bluemonkeys6328
  • 01-01-2018
  • Mathematics
contestada

The hypotenuse of an isosceles right triangle is 5 centimeters long. how long are its sides

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lesliekolleroxrkcf
lesliekolleroxrkcf lesliekolleroxrkcf
  • 01-01-2018
2a²=25
a²=25/2
a=√(25/2)
a=5/√2
a=5√2/2
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chisnau chisnau
  • 23-09-2019

Answer:

The sides are approx 3.54 cm.

Step-by-step explanation:

We know that an isosceles triangle has 2 sides equal.

Given is that the hypotenuse is 5 cm, lets say the remaining two sides are same and they are x

So, as per Pythagoras formula, we get;

[tex]x^{2} +x^{2} =5^{2}[/tex]

=> [tex]2x^{2} =25[/tex]

Dividing both sides by 2:

=> [tex]x^{2} =12.5[/tex]

x = 3.54 approx

Hence, the sides are approx 3.54 cm.

Answer Link

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