ntmnow11 ntmnow11
  • 10-04-2024
  • Mathematics
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An isosceles right angle triangle’s hypotenuse is 18cm. What is the length of the other legs?

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vipinviharisingh34 vipinviharisingh34
  • 10-04-2024

Answer:

9[tex]\sqrt{2}[/tex]

Step-by-step explanation:

In an isosceles right triangle, the other two acute angles are equal to each other and this makes this triangle special as it is 45-45-90 degrees triangle.

=>Hypotenuse=leg x [tex]\sqrt{2}[/tex]

=>18/[tex]\sqrt{2}[/tex]=x

Simplify through radicalisation

18[tex]\sqrt{2}[/tex]/          2

9[tex]\sqrt{2}[/tex] (Simplified)

Thus both legs = 9[tex]\sqrt{2}[/tex] units

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