Question

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

Answer 1

Answer:

$c=4 \sqrt{2}$

Step-by-step explanation:

Pythagoras Theorem

    $a^2+b^2=c^2$

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:

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

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

Learn more about Pythagoras Theorem here:

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