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Dirty Boat Guy |
So... I've made a living from being a 3D modeler , a staff architect, and running my small drafting & design firm. Now I'll admit that, while I know enough math and geometry to do what I need to do, I'm certainly no math or geometry whiz. With that said, here's the question; can a triangle be both an isosceles triangle AND an equilateral triangle at the same time? A penny saved is a government oversight. | ||
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safe & sound |
Yes | |||
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Void Where Prohibited |
It depends on the definition that you use. One definition allows it. "If Gun Control worked, Chicago would look like Mayberry, not Thunderdome" - Cam Edwards | |||
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eh-TEE-oh-clez |
Yes. | |||
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| Smarter than the average bear |
I'm certainly rusty, but I'm pretty certain the answer is "no". By definition an isosceles triangle has exactly two equal sides- no more, no less. An equilateral triangle has three equal sides. | |||
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Almost as Fast as a Speeding Bullet |
Depends on your definition of isosceles. I seem to recall that some say it is "exactly" two equal sides, some say "at least", so equilateral would be a special subset of isosceles. ______________________________________________ Aeronautics confers beauty and grandeur, combining art and science for those who devote themselves to it. . . . The aeronaut, free in space, sailing in the infinite, loses himself in the immense undulations of nature. He climbs, he rises, he soars, he reigns, he hurtles the proud vault of the azure sky. — Georges Besançon | |||
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Member |
https://mathworld.wolfram.com/IsoscelesTriangle.html ------- Trying to simplify my life... | |||
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| Member |
What about a 60-60-60 triangle. Two sides would be equal, and all angles are equal. -c1steve | |||
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Member |
A triangle with all equal angles necessarily has all equal sides, and hence is equilateral. This space intentionally left blank. | |||
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| Muzzle flash aficionado  |
My answer is "Yes". An equilateral triangle has 2 equal sides, so qualifies as isoceles, also--it is a special case. I have never seen a definition of isoceles triangle that would exclude an equilateral triangle from being one. In a similar fashion, is a square a rectangle or a rhombus, and a rectangle a parallelogram? Yes, to all 3 questions--they are merely special cases. flashguy Texan by choice, not accident of birth | |||
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Unflappable Enginerd |
I always understood an isosceles to be "at least 2 equal sides", so in theory, yes. __________________________________ NRA Benefactor I lost all my weapons in a boating, umm, accident. http://www.aufamily.com/forums/ | |||
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Ammoholic |
And also isosceles triangle as well. Just as a square is a parallelogram as well as a rhombus and a rectangle. Jesse Sic Semper Tyrannis | |||
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| Member |
Not disputing that, just pointing out that three equal angles is equivalent to three equal sides. This space intentionally left blank. | |||
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Political Cynic |
yes | |||
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אַרְיֵה |
All equilateral triangles are isosceles triangles. Not all isosceles triangles are equilateral triangles. הרחפת שלי מלאה בצלופחים | |||
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| Ammoholic |
[img] Chicken Dinner [/img] Jesse Sic Semper Tyrannis | |||
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