Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths have the same ratio as the ratio of the lengths of the remaining two sides.

Q: what is the length of a line than has a distance of 5 cms for the center of a circumference who’s…

A:

Q: Two chords of a circle measuring 40 m and 68 m are perpendicular to each other. If the 68-m chord…

A: Topic - circles

Q: Prove that if the interior angle sum of a polygon measured in degrees is equal to two less then the…

A: Explained below

Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A: Given that, the value of the side is 70 feet and the pitching rubber is located 46.5 feet from home…

Q: one of the side edges of a triangle is divided into three parts that remain as 1: 2: 3. From the…

A:

Q: If the ratio of the greater angle between diagonals of a rectangle to the smaller angle is 2: 1 and…

A: If the ratio of the greater angle between diagonals of a rectangle to thesmaller angle is 2: 1 and a…

Q: The sides of an equilateral triangle is 12 cm long 1. How long is the altitude of the triangle 2.…

A: Equilateral triangle

Q: Show that the points of the bisector of an angle are equidistant from its sides.

A:

Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: 1) The diagonal of a square is 5/2 ft, find the area of the square.

A: We know that all four side of the square is equal. Area of the square is the square of the length of…

Q: Find, to the nearest degree, the angles that a diagonal of a box with dimensions 10 cm by 15 cm by…

A: Given: A diagonal of a box with dimensions 10 cm by 15 cm by 25 cm makes with the edges of the box.…

Q: What is the sum of the measures of the interior angles of a regular polygon?

A:

Q: (5) Prove that in an Isosceles triangle, the angle bisector at the apex angle is also the median and…

A:

Q: Prove that parallelogram of the same base and the same parallel lines are equal in area.

A: Given: parallelogram of the same base and the same parallel lines are equal in area.To prove: Area…

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

A:

Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: Show that the median to the base of an isosceles triangle is perpendicular to base.

A: Properties of the isoceles triangle

Q: The two black triangles are both equilateral, and their bases form a straight line segment. Prove…

A: Note that the angles of an equilateral triangle are equal to 60 degrees. We can illustrate the…

Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals

Q: 3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures…

A:

Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

A:

Q: Is there some kind of triangle such that the perpendicular bisector of eachside is also an angle…

A: In a triangle, The perpendicular bisector of each side is a line that is perpendicular to the side…