MyannaF558537 MyannaF558537
  • 25-10-2022
  • Mathematics
contestada

The lengths of two sides of the right triangle ABC shown in the illustration givena=12 cm and c= 20cm

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RoseannaM644266 RoseannaM644266
  • 25-10-2022

In the right triangle of sides a, b, and c

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

Since a = 12 and c = 20

Substitute them in the given rule

[tex]\begin{gathered} (12)^2+b^2=(20)^2 \\ 144+b^2=400 \end{gathered}[/tex]

Subtract 144 from both sides

[tex]\begin{gathered} 144-144+b^2=400-144 \\ b^2=256 \end{gathered}[/tex]

Take a square root for both sides

[tex]\begin{gathered} \sqrt[]{b^2}=\sqrt[]{256} \\ b=16 \end{gathered}[/tex]

The answer is b = 16

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