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Prove triangle ABC is congruent to triangle DBE.

1. Write a proof. AB*BE = CB*BD. Prove triangle ABC is congruent to triangle DBE. 2. A parent group wants to double the area of a playground. The measurements of the playground are width is 2W and the length is 2L. They ask you to comment. What would you say? 3. Find the length of the altitude drawn to the hypotenuse.

Geometry - Parallelograms and Triangles

Please solve. See the attached file for diagrams. Question 1 The preferred seating area at the Music Theatre is the shape of a parallelogram. Its base is 34 yd and its height is 39.6 yd. Find the area. Question 2 The diagonal of a small pasture measures square root 12,617 feet in length. Find the le

Triangle measures

Solve. A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?

Minimizing and Maximizing Area

A wire length L cm, is cut into 2 parts. One piece forms a rectangle whose length is twice its width and the other piece forms an equilateral triangle. How should the wire be cut so that the total area is a A) maximum B) minimum

Oblique Triangles and Identities

A) Verify the following Identities : i) [(Sin 2theta)/ (sin theta )- ( cos 2theta/ cos theta )] = sec theta ii) cos2x = (cot^2 x-1 )/ (cot^2 x-1 ) And, ììì) Use logarithms and the law of tangents to solve the triangle ABC, given that a= 21.46 ft, b= 46.28 ft, and C = 32° 28' 30

Area of Oblique Triangles

A) Find the area of the isosceles triangle in which each of the equal sides is 14.72 in and the vertex angle is 47° 28' . B) Find the radius of the inscribed circle and the radius of the circumscribed circle for the following obliqe triangle : a) = 12.7 , b = 21.5, and c = 28.6

Area of Oblique Triangles

Using LOGARITHMS, find the area of the following triangles : a) a = 12.7, b = 21.5, and c = 28.6 b) c = 426, A = 45° 48' 36 " , and B = 61° 2' 13 "

The Volume of a Tetrahedron

Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).

Cutting a Circle into Triangles

If there are n points on the circumference of a "cake" and each pair of these points is joined by a line or "cut" Let Wn be the number of regions. In the attached picture W4 = 8 (points ABCD). If we add point E and join it to every other point. Consider how many regions the segment AED is split into and then triangles ABC and AB

Find the volume of a tetrahedron and an octahedron.

I need help writing a proof of the formulas of the volumes of two regular polyhedra (Platonic solids): (1) a tetrahedron and (2) an octahedron. I then have to use those formulas to find the volumes given a side length of 1.

Lengths and angles of triangle

Solve the triangle, round lengths to the nearest tenth and angle measures to the nearest degree. Please show work and see attachment.

Unit Conversions, Spheres and Cones

#1 in attachment the solid is made of gold worth $253.75 per ounce One cubic foot weighs 4 pounds. How much is the value of this gold figure? Be careful of the units of measure #3 in attachment Triangle ABC is an equilateral triangle with side of 12. A cone is formed by revolving that triangle above an altitude The lar

Similar Triangles

Surveying: Surveyors sometimes use similar triangles to measure inaccessible distances. A surveyor could find distance AB by setting up similar triangles ABC and EDC. Assuming all lengths may be directly measured to set up a proportion and solve for AB. 17. How does the surveyor make ABC similar to EDC? 18. Set up a prop

Finding Length of the Side of a Triangle

Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.

Geometry : Triangle in a Cone

In the diagram attached, I have to show that: curly r-bar = sqrt(h^2 + curly-r squared - sqrt(2).h.curly-r). So far, I've only been able to come up with the obvious fact that: curly - r^2 = sqrt(h^2+h^2) = sqrt(2).h

Geometry : Medians of Triangle Proof

O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. what is the ratio of the area of triangle EOC to triangle ABC?

Geometry : Right Triangle Inscribed in a Circle

Using the diagram attached: 11. What is the measure of arc AC? 12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? 13. Working with the information from 12 from here to #16, what is

Arcs and chords of a circle.

Using the diagram at right: 1. If the diameter of circle M is 20, and the length of line segment DF is 12, what is the length of segment MJ? 2. If the measure of arc BFE is 80 degrees, then what is the measure of angle BME? 3. If there were an imaginary angle ACB, what would the measure of that angle be? (Hint: Remember that

Solutions to problems in geometry

See attached file for full problem description. 1. Use the figure below to find the following: 2. a) Find the complementary angle of 26 b) DEF and GHI are supplementary angles and GHI is fourteen times as large as DEF. Determine the measure of each angle

Solving for Geometry Word Problems

a. A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. Questions: How many years has it gone? (use 22/7 for pi) b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36. Question: How long is one side of the hexagon? c. The base of

Areas and Perimeters of Triangles

28. Find the area and perimeter of an equilateral triangle whose altitude measures 6 cm. 29. If the area of an equilateral triangle is 100 sq cm, find the length of a side.