Question

select the correct image. for which triangle does the equation ( 4 ^ { 2 } + 4 ^ { 2 } = c ^ { 2 } ) apply?

Explanation:

Step1: Recall Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs of a right - triangle and \(c\) is the hypotenuse.

Step2: Analyze the given equation

In the equation \(4^{2}+4^{2}=c^{2}\), we have \(a = 4\) and \(b = 4\). This formula is applicable only for a right - triangle with legs of length \(4\) and \(4\).

Answer:

The second triangle (the right - triangle with legs of length \(4\) and \(4\)) is the correct image.