Q: Why do angles in a right triangle always have the same slope ratio?

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Yes. A right triangle is a triangle where one angle is a right angle. If two out of three angles are right angles, then it's an isosceles triangle. If all three angles are right angles, then it is an equilateral triangle.

Yes, an isosceles right triangle will have angles 45-45-90 As a side note, the ratio between the hypotenuse and the sides will always be s: s * √2 where "s" is the length of one of the sides of the isosceles right triangle.

No.

They can but not always.

It is called a 30-60-90 triangle and it is a right triangle whose sides are always in the ratio:1:2:Square root (3).

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Yes. A right triangle is a triangle where one angle is a right angle. If two out of three angles are right angles, then it's an isosceles triangle. If all three angles are right angles, then it is an equilateral triangle.

In a right triangle, two of the angles are acute ones. Referring to one of the acute angles, the ratio of the side opposite it to the side adjacent to it is the tangent of the angle.

Yes, an isosceles right triangle will have angles 45-45-90 As a side note, the ratio between the hypotenuse and the sides will always be s: s * √2 where "s" is the length of one of the sides of the isosceles right triangle.

No.

They can but not always.

It is called a 30-60-90 triangle and it is a right triangle whose sides are always in the ratio:1:2:Square root (3).

An isosceles triangle has two equal sides and two equal angles. A right triangle is any triangle with one angle that is a right angle. A right triangle could also be an isosceles triangle, but an isosceles triangle will not always have a right angle.

Proportional to the sine of the angles opposite them.

There is no such thing as the tangent of a triangle. Circles, angles, and conversations have tangents. In a right angled triangle, the tangent of one of the acute angles is the ratio of the length of the side opposite the angle to the length of the side adjacent to it.

No. A triangle with two complementary interior angles will always result into right triangle. The sum of the complementary angles will always be 90 degrees and the other one will be 90 too.

No you cannot make a triangle with two right angles. In all triangles the sum of the angles is always 180°. Also all triangles have three angles. If there are two right angles, you already have 180° and cannot have another angle to complete the triangle.

A right triangle will always have exactly one right angle and two acute angles. It will never have an obtuse angle. The easiest proof of that is the fact that sum of the angles in a triangle is always 180o, and if it's a right triangle, then one of it's angles is 90o, leaving only 90o for the angles of both of the other two. Since they both have to be greater than zero for it to qualify as a triangle, they will always both be less than ninety, and thus always acute.