### Geometry Proof : Isosceles Triangle and Bisector

ABC is an isosceles triangle. M is the midpoint of side BC. E is a point on AC. The (angle) bisector of angle ABE intersects AM at F. What is EF? Prove your Conjecture.

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ABC is an isosceles triangle. M is the midpoint of side BC. E is a point on AC. The (angle) bisector of angle ABE intersects AM at F. What is EF? Prove your Conjecture.

1) In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft. Find the area covered by the chemical retardant. 2) The chemical retardants are freight shipped from

I have a scalene triangle. One side is 241 long, the other is 232 feet. I need to know what the third side would be.

J and k are parallel lines. Line d intersect j and k respectively at A and B. Points C and D are equidistant from j, k, and d. What kind of quadrilateral is ACBD? Prove your conjecture.

Geometry Problems: Solve the proofs in question 7 and question 8. Number 7: We are given that AE = DB, FG = CG, and angle FGE = angle CGD, and we want to prove that angle A = angle B. (Note: AE = DB not AE = BE.) Number 8: We are given that DB bisects angle ADC and angle 3 = angle 4, and we want to prove tha

1. Show the necessary steps for finding the length of each side of a regular hexagon if opposite sides from midpoint to midpoint are 18 inches apart. 2. Without cutting or destroying a football, how would you find the area and volume of a football. Include any necessary formulas and measurements to implement your idea.

Find all possible solutions for triangle ABC if A=55 degrees, a=12, and c=13.

A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.

Use the law of sines to solve the triangle. If two solutions exist find both. A = 110 degrees, a= 125, b= 200

1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per seco

Convert 4.752 radians to degree measure. Round to three significant digits.

Find the third side, c, of the right triangle where a=87.5ft and b=192 ft

The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, as shown in the diagram attached. See attached file for full problem description. Solve the following problems in a Word document. 1. A Little League team is building a backstop f

A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet of

See attached file for full problem description. 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

A water tank has the shape of a cone. The tank is 10m high and has a radius of 3m at the top. If the water is 5m deep (in the middle) what is the surface area of the top of the water?

Write a compound inequality to describe tha range of possible measures for side c in terms of a and b. Assume that a > b > c.

For the right triangle, find the side length x. Round answer to nearest tenth. Base=x Side=14 Side=8

For a right triangle, find the side length x round to the nearest tenth. Side: x Side: 6 Base: 9

I need to see a construction and proof. Let (triangle DEF) be equilateral triangle and Q is a point inside. Prove that the sum of the three distances from Q to each side is equal to the altitude DD'.

1. I need to see a construction and proof. Given a quadrilateral EFGH so that all four sides are congruent to a circle. Prove that EF+GH=EH+FG 2. Prove that a perpendicular bisector of a chord in a circle is a diameter.

20. A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. a. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. b. What is the domain of A? c. Grap

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

What is the length of the hypotenuse of the right triangle ABC in examination figure,if AC=6 and AD=5 note : draw a triangle A B C and the height from point C to D,the point D is in between A and B,the distance between A and D is 5 and the distance between A and C is 6

1) Solve the following equations. a) sqrt(x) - 1 = 4 b) sqrt(x^3) = 8 c) third root of x^2 = 4 2) Is sqrt(x^2) an identity (true for all values of x)? Answer: Explain your answer in this space. 3) For the equation x - sqrt(x) = 0, perform the following: a) Solve for all values of x that satisfies the equatio

Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be

1) A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees. How far from tower A is the fire? From tower B? 2) In mountain communities, helicopters drop chemical retardants over a

(See attached file for full problem description) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area of the equilateral triangle whose sides are of length 2 cm is (√3) cm2 , find the length s of an equilateral triangle whose area A is (√3)/4 cm2.

1) Solve the following equations. a) Answer: Show work in this space. b) Answer: Show work in this space. c) Answer: Show work in this space. 2) Is an identity (true for all nonnegative values of x)? Answer: Explain your answer in this space. 3) For the equa

(See attached file for full problem description with proper symbols) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area if the equilateral triangle whose sides are of length 1 cm is (  3 ) / 4 cm 2 , find the length s of an equilateral triangle whose area A is