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Nadya [2.5K]
2 years ago
15

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

Mathematics
1 answer:
Masja [62]2 years ago
8 0

Answer:

c=4 \sqrt{2}

Step-by-step explanation:

<u>Pythagoras Theorem</u>

    a^2+b^2=c^2

where:

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

Given values:

  • a = 4
  • b = 4

Substitute the given values into Pythagoras Theorem formula and <u>solve for c</u>:

\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}

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

Learn more about Pythagoras Theorem here:

brainly.com/question/26954703

brainly.com/question/27988757

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