are all right angle triangles similar?
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First, right triangles are not necessarily always similar. ... In both cases, the leg of the larger triangle is twice as long as the corresponding leg in the smaller triangle. Given that the angle between the two legs is a right angle in each triangle, these angles are congruent.
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['Equilateral. Equilateral triangles have 3 equal sides and 3 equal angles of 60°', 'Isosceles. Isosceles triangles have 2 equal sides and 2 equal angles.', 'Right-angled. 1 of the angles is a right angle (90°) in right-angled triangles.', 'Scalene. Scalene triangles have no equal sides and no equal angles. Start activity.']
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If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
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2 Answers By Expert Tutors All equilateral triangles have the same same shape (three equal sides, three equal angles). ... A hexagon only needs to have six sides. Not all hexagons are the same shape. All hexagons are not similar.
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A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.
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What is the difference between a right triangle and other triangles? ... A triangle is a two dimensional geometric shape with three straight sides. A right triangle is a triangle which has a right angle (an angle of 90° or π/2 radians).
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A right triangle cannot be obtuse because of the sizes of the angles therein. Any triangle has three sides, three angles, and three angles that equal...
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Yes. All equiangular triangles are similar. In geometry, we have a nice theorem that allows us to determine if two triangles are similar using the...
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Answer and Explanation: An isosceles triangle might have no right angles and it might have one right angle.
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➷The answer is True. You can eyeball the triangle or also get a protractor and also see that this is a right triangle. Remember, right triangles have a right angle.
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A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.
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Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides. Are these ratios equal?
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Isosceles Right Triangle. A right triangle with the two legs (and their corresponding angles) equal. An isosceles right triangle therefore has angles of , , and . For an isosceles right triangle with side lengths , the hypotenuse has length , and the area is .
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Explanation: Though we must do a little work, we can show these triangles are similar. First, right triangles are not necessarily always similar. ... Given that the angle between the two legs is a right angle in each triangle, these angles are congruent.
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A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). ... The side opposite the right angle is called the hypotenuse (side c in the figure).
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In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene.
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We are talking about right triangles with equal in length two catheti. One angle, across the hypotenuse, is 90o . Two others must be equal since a triangle is isosceles, that is they are equal to 45o each. So, any right isosceles triangle has angles 90o , 45o and 45o .