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Triangles

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 Theorem Proof

Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.

Solution of Triangles

Solve the triangle in which a = 36, b=24, B= 25 Degrees (This is an ambiguous case).

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 Angles

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

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 a Triangle

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

Saccheri quadrilaterals; Lambert quadrilaterals

Draw a diagram of a Saccheri quadrilateral ABDC, where (a) A and B are a pair of consecutive vertices (b) sides AD and BC are a pair of opposite sides (c) angles A and B are right angles (d) sides AD and BC are congruent. Then let M be the midpoint of AB, and drop a perpendicular from M to CD with foot N. Once

Similar Triangles Measured

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

Calculating Volume

6. What is the volume of a regular square pyramid which has a total area of 360 if the square base is 10 on a side. 9. How long is the edge of a cube whose total area is numerically equal to it's volume? 15. A cube has a cylinder inscribed inside of it. That cylinder has a sphere inscribed inside of it. What is the rati

Geometry Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of