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options for 1 or two are not available but i got c= radical 125

Options For 1 Or Two Are Not Available But I Got C Radical 125 class=

Sagot :

Answer:

[tex]c=4 \sqrt{2}[/tex]

Step-by-step explanation:

Pythagoras Theorem

    [tex]a^2+b^2=c^2[/tex]

where:

  • a and b are the legs of the right triangle
  • c is the hypotenuse (longest side) of the right triangle

Given values:

  • a = 4
  • b = 4

Substitute the given values into Pythagoras Theorem formula and solve for c:

[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies 4^2+4^2 & =c^2\\16+16 & =c^2\\32 & =c^2\\ \sqrt{c^2}& =\sqrt{32}\\ c & =\sqrt{16 \cdot 2}\\& = \sqrt{16}\sqrt{2}\\& =4\sqrt{2}\end{aligned}[/tex]

Therefore, the measure of the third side of the given right triangle is [tex]4 \sqrt{2}[/tex]

Learn more about Pythagoras Theorem here:

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