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ch4aika [34]
3 years ago
7

The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides

of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer:

it states:  a squared + b squared = c squared ( the hypotenuse)

Step-by-step explanation:

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Let h,l, and w represent the height, length, and width of the building respectively

Then

\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}\Rightarrow h=\frac{12.5l}{w}

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\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}

Hence, the width is 2.5m

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