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OlgaM077 [116]
3 years ago
5

Paul sketched a right angel with legs of length a, b, and h. Then he writes an expression for the length of the hypotensure. Wha

t expression did he writes and explain.
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

Paul might have written the expression h^2=a^2+b^2.

Step-by-step explanation:

Given:

Length of the leg 1 = a

Length of the leg 2 = b

Hypotenuse = h

We need the expression Paul has written:

Solution:

Now we know that;

The figure sketched by Paul is a right angle triangle.

Now by Pythagoras Theorem which states that;

"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."

equation can be framed as;

h^2=a^2+b^2

Hence Paul might have written the expression h^2=a^2+b^2.

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<em>Comment on the figure</em>

The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.

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