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baherus [9]
3 years ago
15

is it possible to draw two congruent triangles so that one triangle is an acute triangle and one triangle is right triangle? why

or why not?
Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
No because then they would be different triangles.  Congruent triangles are triangles that are the same

I hope I've helped!
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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
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Answer:

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Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

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Then, the work consists in finding pairs (a,b) for which:

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You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

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a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)

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