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sergij07 [2.7K]
1 year ago
15

riding find the length of the hypotenuse of the right triangle use pencil and paper explain how you can interpret the Pythagorea

n theoremusing the areas of squares

Mathematics
1 answer:
noname [10]1 year ago
7 0

Solution

Question 1:

- Use of the area of squares to explain the Pythagoras theorem is given below

- The 3 squares given above have dimensions: a, b, and c.

- The areas of the squares are given by:

\begin{gathered} \text{For square of length }a\to a^2 \\ \text{For square of length }b\to b^2 \\ \text{For square of length }c\to c^2 \end{gathered}

- The Pythagoras theorem states that:

"The sum of the areas of the smaller squares add up to the area of the biggest square"

Thus, we have:

c^2=a^2+b^2

Question 2:

- We can apply the theorem as follows:

\begin{gathered} 10^2+24^2=c^2 \\ 100+576=c^2 \\ 676=c^2 \\ \text{Take square root of both sides} \\  \\ c=\sqrt[]{676} \\ c=26 \end{gathered}

Thus, the value of c is 26

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