What is theorem 50?

Theorem 50: The sum of the measures of the. three angles of a triangle is 180º. (Triangle Sum Theorem)

What is theorem 5 of triangle?

Theorem 5: If comparable angles are equal in two triangles, then their corresponding sides have the same ratio, and the two triangles are identical.

What is theorem 5 10 in geometry?

Theorem 5-10 In a plane, if two lines are perpendicular to the same line, then the two lines are parallel. Theorem 5-11 Two lines have the same slope if and only if they are parallel and nonvertical.

What is theorem 4?

Converse: If a triangle has two angles equal in measure, then the sides opposite these angles are equal in measure (i.e. the triangle is isosceles).

What is the theorem on triangle?

Theorem 1: The sum of all the three interior angles of a triangle is 180 degrees. Theorem 2: The base angles of an isosceles triangle are congruent. The angles opposite to equal sides of an isosceles triangle are also equal in measure.

Theorem 50 | Pythagoras theorem | Madhyamik maths chapter 22 |

What is theorem 2?

Theorem 2: In an isosceles triangle the angles opposite the equal sides are equal.

What is theorem 1?

Theorem 1: If two lines intersect, then they intersect in exactly one point.

What is theorem 45?

The 45-45-90 triangle rule states that the three sides of the triangle are in the ratio 1:1:√2. So, if the measure of the two congruent sides of such a triangle is x each, then the three sides will be x, x and √2x. This rule can be proved by applying the Pythagorean theorem.

What is theorem of 90?

The Pythagorean Theorem is one of the most important theorems in Geometry. To remind you: The Pythagorean Theorem: If one of the angles of a triangle is 90 degrees, then the square of the lengths of the two legs on either side of 90 degree angle sum to the square of the length of the side opposite the 90 degree angle.

What is theorem 48?

48: If the square from one of the sides of a triangle is equal is equal to squares from the remaining two sides of the triangle, the angle enclosed by the remaining sides of the triangle is right. (general diagram)

What is theorem 6?

Theorem 6: Each exterior angle of a triangle is equal to the sum of the interior remote angles.

What is theorem 9?

Theorem 9: In a parallelogram, opposite sides are equal and opposite angles are equal.

What is the 345 theory?

To get a perfectly square corner, you want to aim for a measurement ratio of 3:4:5. In other words, you want a three-foot length on your straight line, a four-foot length on your perpendicular line, and a five-foot length across. If all three measurements are correct, you'll have a perfectly square corner.

What is theorem 5 13 in geometry?

Theorem 5-13 The diagonals of a rhombus are perpendicular. Theorem 5-14 Each diagonal of a rhombus bisects two angles of the rhombus. Theorem 5-15 The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.

What is the 5 7 theorem?

5-7 The Pythagorean Theorem In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

What is theorem 19?

Theorem 19: The angle at the centre of the circle standing on a given arc is twice the angle at any point of the circle standing on the same arc.

What is theorem 30?

The theorem says that. : the square on the hypotenuse is equal to the sum of the squares on the other two sides.

What is theorem 60?

One of the two special right triangles is called a 30-60-90 triangle, after its three angles. 30-60-90 Theorem: If a triangle has angle measures 30 ∘ , 60 ∘ and , then the sides are in the ratio x : x 3 : 2 x . The shorter leg is always , the longer leg is always , and the hypotenuse is always .

What is theorem 70?

Theorem 70: If the square of the measure of one side of a triangle equals the sum of the square of the measure of the other two sides, then the angle opposite the longest side is a right angle.

What is theorem 17?

In a right-angled triangle, the square of the length of the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.

What is the theorem of 180?

Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

What is theorem 24?

Theorem 24. If 2 points are each equidistant from the endpoints of a segment, then the two points determine the perpendicular bisector of that segment.

What is theorem 82?

Theorem 82: In a circle, if two chords are equidistant from the center of a circle, then the two chords are equal in measure.

What is theorem 10.1 in short?

Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.