Copy of a proof of pythagorean theorem-4

Notice in the below image, the hypotenuse is the 'a' side.

Above is considered a proof of the pythagorean theorem.[br]Going from right to left describe the proof in your own words.[br]

Challenge!

Given, [math]a^2+b^2=c^2[/math], what is the equation for solving for a? Show your work going from the original equation to isolating for a.

Assuming that the tree was growing at a right angle from the ground, what is the length of x?

A right triangle has side lengths, 8 ft & 9 ft, what is the length of the longest side?[br]Right the answer in the most precise form.

A right triangle has side lengths, 8 ft & 9 ft, what is the length of the longest side?[br]Right the answer rounded to 2 decimal places. Example 21.34 feet.

A triangle's side lengths are 24, 40 and 32 mm, is this a right triangle?

Yes, the equation, [math]a^2+b^2=c^2[/math], is true No, the equation, [math]a^2+b^2=c^2[/math] is not true. No, the hypotenuse is not a rational number. Yes, the add up to 96 mm

What is the length of the diagonal of this rectangular prism?[br]

What is [math]\sqrt{\frac{100}{25}}[/math]=?

[math]\frac{50}{12.5}[/math] [math]4[/math] [math]\sqrt{\frac{10}{5}}[/math] [math]\frac{10}{5}[/math]

Copy of a proof of pythagorean theorem-4

Challenge!

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