The word "isosceles" comes from the Greek prefix "iso-", which means "equal", and the word "skelos", which means "leg".Īn obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees. In geometry, an isosceles triangle is a triangle with two sides of equal length. Now that you know a little bit more about isosceles obtuse triangle, maybe you'll be able to spot one the next time you see one!įAQ What is an isosceles triangle in geometry? These properties include: One obtuse angle, Two sides of equal length, The remaining longer than the others, All angles add up to 180 degrees. * All angles add up to 180 degrees: Just like all other types of triangles, the three angles in an isosceles obtuse triangle will always add up to 180 degrees.Īn isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. In an isosceles obtuse triangle, the long side will also be the side opposite the obtuse angle. This side is known as the "long" side or the "base" side. * The remaining side is longer than the other two: In addition to having two equal sides, all isosceles triangles also have a third side that's longer than the other two. If two sides are equal in length, then you're dealing with an isosceles triangle. In fact, this is how you can tell an isosceles obtuse triangle apart from a regular obtuse triangle-by looking at the lengths of the sides. * Two sides of equal length: All isosceles triangles have at least two sides of equal length, and isosceles obtuse triangles are no different. This is what makes them obtuse triangles. * One obtuse angle: As we mentioned before, all isosceles obtuse triangles have one angle greater than 90 degrees. Keep reading to learn more about the properties of isosceles obtuse triangles and how to identify them.Īn isosceles obtuse triangle has several distinct properties that set it apart from other types of triangles. An isosceles obtuse triangle, then, is a triangle with one obtuse angle and two sides of equal length. So our answer is c, right isosceles triangle.You've probably heard of isosceles triangles before, but what about isosceles obtuse triangles? In geometry, an obtuse triangle is a triangle with one obtuse angle, or an angle greater than 90 degrees. And this means we’ve got a right isosceles triangle. Well that symbol there means it’s ninety degrees, which makes it a right angle. So the question is is it acute, is it right, or is it obtuse. We must be talking about the other angle. So when we talk about acute, right, or obtuse, we can’t be talking about these angles Than hundred and eighty degrees for a triangle. If they were ninety degrees or more, then we’d have a sum of angles which is greater They’ve got to be less than ninety degrees. Now that means that this angle and this angle have each got to be acute. Remember the sum of the measures of the interior angles in a triangle is a hundred Now remember an acute angle is one which is between zero degrees and ninety degrees,Īnd an obtuse angle is between ninety degrees and one hundred and eighty degrees,Īnd a right angle is exactly ninety degrees. They’re the angles which are the angle where the sides of the same length meet. Now you should remember that the base angles in an isosceles triangle are equal, and Either it’s an acute isosceles triangle, a right isosceles triangle, or an obtuse Remember, scalene means that all the different sides of the triangle will beĭifferent lengths, so any triangle that says it’s a scalene triangle doesn’t match And triangles with two sides the same length are called isosceles triangles. And these little markers here and here tell us that those Well it’s an enclosed shape with three straight sides, so it is a triangle it’s a Isosceles triangle, c) right isosceles triangle, d) obtuse isosceles triangle, or e) Which of the following describes the given shape? a) acute scalene triangle, b) acute
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