Mathematics: Which identity resulted from the proof in part a, which showed that a triangle with side lengths x2 − 1, 2x, and x2 + 1 is a right triangle?

Which identity resulted from the proof in part

Ответ:

mccdp55

12.03.2022

Mathematics

we know that

In a right triangle

Applying the Pythagorean Theorem

$hypotenuse^{2} =leg1^{2} +leg2^{2}$

In this problem

Let

$hypotenuse=x^{2} +1\\leg1=2x\\ leg2=x^{2} -1$

substitute in the formula above

$hypotenuse^{2} =leg1^{2} +leg2^{2}$

$(x^{2} +1)^{2} =(2x)^{2} +(x^{2} -1)^{2}$

$(x^{4} +2*x^{2}+1) =(4*x^{2})+(x^{4} -2*x^{2}+1)$

$(x^{4} +2*x^{2}+1) =(x^{4} +2*x^{2}+1)$ ------> is ok

that means that is a right triangle

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Ответ:

StephanieQueen2003

17.10.2022

Mathematics

x=25

Step-by-step explanation:

If you see that the lines AE and BC are parallel, you will know that angles ACB and CAE are the same. Since angle ADB is 50 degrees and its on a 180 degree line, you can know for sure that angle BDC is 130 degrees. Since we already know that angle DCB is the same as CBD since it is also x, both of those would have to be 25, meaning that x=25.

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Which identity resulted from the proof in part a, which showed that a triangle with side lengths x2 − 1, 2x, and x2 + 1 is a right triangle?

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