silviaramos1980 silviaramos1980
  • 25-10-2018
  • Mathematics
contestada

Às medidas dos catetos de um triângulo retangulo são 90 cm e 120 cm . Determine a medida da altura relativa à hipotenusa

Respuesta :

rejkjavik rejkjavik
  • 03-11-2018

We are given

The measures of the legs of a triangular rectangle are 90 cm and 120 cm

we have to find hypotenuse

we can use Pythagoras theorem

[tex]c^2=a^2+b^2[/tex]

Here ,

a, b are legs of rectangle

c is hypotenuse

so, we get

[tex]a=90[/tex]

[tex]b=120[/tex]

now, we can plug these value

[tex]c^2=90^2+120^2[/tex]

[tex]c^2=22500[/tex]

now, we can take sqrt

and we get

[tex]\sqrt{c^2} =\sqrt{22500}[/tex]

[tex]c=150[/tex]

So, the height measurement relative to the hypotenuse is 150cm......Answer

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