Is 5 m, 20 m, 25 m a right triangle
2 answers:
Answer:
No
Step-by-step explanation:
We can check this using the Pythagorean Theorem, .
First, we can plug our two smaller sides in for a and b, and the largest side in for c.,
Next, we can check the left side of the equation, which we find to be:
Then, we can add these products and achieve the result of 425
Finally, we can solve the right side of the equation, which equals 625
As 425 ≠ 625, this equation fails the Pythagorean Theorem, and is therefor false.
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This equation has the next form:
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
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In the second case,
The discriminant in this case is:
Then, the second case has two complex solutions.
In the third case,
The discriminant in this case is:
Then, the third case has two real solutions.
In the fourth case,
The discriminant in this case is:
Then, the fourth case has two complex solutions.