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A scalene triangle has no sides of equal length and no equal angles. The longest side of a right angle triangle is called the hypotenuse, it is always found opposite the right angle. Trigonometry is the study of the relationship between the angles of triangles and their sides.

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Beside this, can a scalene triangle be Equiangular?

Answer and Explanation: An equiangular triangle cannot be scalene. By definition, a scalene triangle is a triangle in which each side of the triangle has a different length.

Similarly, what angles does a scalene triangle have? Properties of Scalene Triangles Like other triangles, all the angles inside a scalene triangle add up to 180 degrees. And just like all the sides of a scalene triangle have different lengths, all the angles of a scalene triangle have different measures.

Simply so, can there be a scalene right triangle?

A scalene triangle can have a right angle, or an angle with measure 90°, but not all scalene triangles have a right angle.

What is the formula of isosceles?

All Formulas to Find Isosceles Triangle Area

Formulas to Find Area of Isosceles Triangle
Using length of 2 sides and angle between them A = ½ × b × c × sin(α)
Using 2 angles and length between them A = [c2×sin(β)×sin(α)/ 2×sin(2π−α−β)]
Area formula for isosceles right triangle A = ½ × a2
Related Question Answers

What does scalene triangle mean?

A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle.

What are the properties of a scalene triangle?

Properties of the scalene triangle: All angles of a scalene triangle are unequal. A scalene triangle has no line of symmetry. The angle opposite to the longest side would be the greatest angle and vice versa. All sides of the given scalene triangle are unequal.

What is Heron's area formula?

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

What are the three triangles?

There are different names for the types of triangles. A triangle's type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene.

Does Pythagoras work on all triangles?

Pythagoras' theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

Is an obtuse equilateral triangle possible?

Explanation: The angles in an equilateral triangle are all 60 degrees. An obtuse angle is greater than 90 degrees. 60< 90 so an equilateral triangle can not have an obtuse angle.

What triangle is impossible to draw?

The answer is: a right obtuse triangle, an equilateral scalene triangle, a right equilateral triangle.

Can an isosceles triangle be an equilateral triangle?

An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral.

What does obtuse triangle mean?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

How do you construct an obtuse isosceles triangle?

Method 1 Given All Side Lengths
  1. Assess what you know. To use this method, you should know the length of the triangle's base and the length of the two equal sides.
  2. Draw the base.
  3. Set the compass.
  4. Draw an arc above the base.
  5. Draw an intersecting arc above the base.
  6. Draw the sides of the triangle.

Is a right equilateral triangle possible?

An equilateral triangle can not be a right triangle. This makes sense because the angle measures in any triangle, not only an equilateral triangle, equal 180 degrees. In a right triangle, however, the 3 angles can NOT be congruent. This is because in a right triangle, one angle equals 90 degrees.

What is the difference between isosceles triangle and equilateral triangle?

In an equilateral triangle , all the sides and angles are of equal length. In an isosceles triangle , 2 of the sides are equal and 2 angles are equal.

What is a regular triangle called?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.

What is the 3 4 5 Triangle rule?

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. If you multiply the sides by any number, the result will still be a right triangle whose sides are in the ratio 3:4:5. For example 6, 8, and 10.

What are the 7 triangles?

Triangle Types and Classifications: Isosceles, Equilateral, Obtuse, Acute and Scalene.

What is a scalene triangle look like?

A scalene triangle has three sides of different lengths. No congruent sides. Note: The angles in a scalene triangle are also of different measures. An isosceles triangle has two congruent sides. The sides that are the same lengths are called the "legs".

What is the formula for finding the area of an isosceles triangle?

To find the area of an isosceles triangle using the lengths of the sides, label the lengths of each side, the base, and the height if it's provided. Then, use the equation Area = ½ base times height to find the area.

How many triangles are there?

How many total triangles are there? There are 3 triangles. There is 1 big triangle (from the no interior lines case), and then there are 2 new small triangles, making for 3 = 1 + 2. If we add another slanted vertical line, we end up with 6 = 1 + 2 + 3.

Is ABC scalene isosceles or equilateral?

If none of the sides of a triangle are equal (of equal length), the triangle is scalene. If two or more of the triangles sides are equal, the triangle is isosceles. If all three of the sides of a triangle are equal, it is equilateral.