saniyamathis34
saniyamathis34 saniyamathis34
  • 19-10-2020
  • Mathematics
contestada

The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the triangle?
89 Units

Respuesta :

DunderMifflinite
DunderMifflinite DunderMifflinite
  • 20-10-2020

Answer:

The other leg is equal to 6.24 units.

Step-by-step explanation:

Using the Pythagorean Theorem:

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

However we need to find b:

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

Substitute:

[tex]8^2-5^2=b^2[/tex]

[tex]64-25=b^2[/tex]

[tex]b^2=39[/tex]

Find the square root:

[tex]\sqrt{39}=6.24[/tex]

The other leg is equal to 6.24 units.

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