Is a*2+b*2 < c*2 is acute or is acute when is >than c*2
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Is a*2+b*2 < c*2 is acute or is acute when is >than c*2

[From: ] [author: ] [Date: 11-05-03] [Hit: ]
Please help :)-Imagine a right triangle with sides a, b and c with c being the hypotenuse.If you keep the sides a and b the same,right angle increases (obtuse) --> c increases so a^2 + b^2 -when c² is greater than the rest, it means the hypotenuse is longer than needed for a right triangle, which means the opposite angle is greater than 90°,......
When A square plus B square less than C square the triangle is acute or is it the other way around when A and B are Greater than C is acute....
Please help :)

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Imagine a right triangle with sides a, b and c with c being the hypotenuse.

a^2 + b^2 = c^2

If you keep the sides a and b the same, what happens if you change the right angle

right angle decreases (acute) ---> c decreases so a^2 + b^2 > c^2
right angle increases (obtuse) --> c increases so a^2 + b^2 < c^2

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when c² is greater than the rest, it means the hypotenuse is longer than needed for a right triangle, which means the opposite angle is greater than 90°, which makes the triangle obtuse.

when c² is less than the rest, hypotenuse is shorter than in a right triangle, and so the triangle is acute.
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