are all pythagorean triples similar?
243264
For each natural number n, there exist at least n different Pythagorean triples with the same hypotenuse. There exist infinitely many Pythagorean triples with square numbers for both the hypotenuse c and the sum of the legs a + b.
836802
['Nonagon.', 'Octagon.', 'Heptagon.', 'Hexagon.', 'Triangle.', 'Scalene triangle.', 'Right triangle.', 'Parallelogram.']
1419523
Pythagoras' theorem states that, in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.
1142189
The "SAS" is a mnemonic: each one of the two S's refers to a "side"; the A refers to an "angle" between the two sides. △ABC ∼ △A′B′C′. There are several elementary results concerning similar triangles in Euclidean geometry: Any two equilateral triangles are similar.
1433840
AAA. As with the three previous problems, make the two AAA triangles coincide as much as possible. We know that we can line up one of the angles, but we don't know the lengths of either of the sides coming from this angle.
62
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.
81830
Yes they are one and the same. hence (a-b)^2 & (b-a)^2 are same.
26557
Figures are similar if they have the same shape - the size may be different. All equilateral triangles have the same same shape (three equal sides, three equal angles). ... Not all hexagons are the same shape. All hexagons are not similar.
873389
The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
951527
English translation: 2 = double, 3 = triple, 4 = quadruple, 5 = quintuple, 6 = sextuple, 7 = septuple, 8 = octuple.
1166454
Yes, triangles PQR and STR are similar because all of the angles are congruent. For example, <PQR and <SRT are alternate interior angles. Also, <RPQ and <RST are automatically the same because they are both right angles.
424709
AA (Angle-Angle) Similarity. In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)
623722
If we put triangle ONE on top of triangle MHS, we could compare each angle, and we would find that the corresponding angles are all congruent. ... If we measured the angles, we would find that the corresponding angles are congruent. Therefore, these quadrilaterals are similar.
1068937
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...
1375275
Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples. There are an infinite number of them, and this is just the smallest. See pythagorean triples for more information.
123229
If it correct ABC is right angle triangle. Use the Pythagorean Theorem In a right triangle the square of the length of the longest side will equal the sum of the squares of the lengths of the two shorter sides. ... Let ABC be an isosceles triangle with a right angle at B.
262827
['Angle Angle Angle (AAA) If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. ... ', 'Side Angle Side (SAS) ... ', 'Side Side Side (SSS) ... ', 'Right-angle Hypotenuse Side (RHS)']