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
Find all possible solutions for triangle ABC if A=55 degrees, a=12, and c=13
Use the law of sines to solve the triangle. If two solutions exist find both. A = 110 degrees, a= 125, b= 200
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
Sum of the angles in a triangle is always 180 degrees. Let A, B, C be the corners of a triangle and a, b, and c represent the angles at these corners respectively.
Sum of the angles in a triangle is always 180 degrees. Let A, B, C be the corners of a triangle and a, b, and c represent the angles at these corners respectively. Write the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees.
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.
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.
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
Question re slant height of ski lodge roof - isosceles triangle, base is 14 m. Vertical angle is 36 degrees. What would slant height of sides of roof (triangle) be, i.e., side AC or side BC?
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof? keywords: hypotenuse, pythagorean, pythagorus, theorem
In a triangle ABC, Angles are given in a particular order. Each angle is an acute angle. A number M is defined as Cos(A-B)/2SinA/2SinB/2. Find the minimum value of M.
The sides of a right triangle are 4 and 12. How do I get the angle?
# 18, # 24, # 42
Geometry : How many distinct points does the 9-point circle have when the triangle is isosceles, equilateral, right-angle isosceles
How many distinct points does the 9-point circle have when the triangle is - isosceles - equlateral - right-angled isosceles.
Matrix & Vector Problem : Find the area of the triangle with vertices...; Compute the volume of the tetrahedron with vertices...
(a) (i) Find the area of the triangle with vertices (t, t-2), (t+2. t+2). (t-3, t) Does the area changes with t? (ii) In a theorem of solid geometry, the volume of the tetrhedron is 1/3 (base area )x( height). Compute the volume of the tetrahedron with vertices A( -1, 2, 0), B=(3, 5, 1), C(0, 0, 1) and D=(4.-1, 3). Hint
The incircle of triangle ABC touches the sides BC, CA, AB at the points x,y,z respectively. yz is produced to meet BC at k. Show that Bx/Cx = Bk/Ck.
1- Given triangle as shown (infigure 241W) with AF = 1/4 AB, AE = 1/3 and BE Intersect CF = O (BE has ray bar on top and CF has distance bar on top) prove that AO hits BC At its midpoint. 2- Use Ceva's theorem to prove that the internal bisectors of the angles of a triangle are concurrent (cevas theorem: given triangle AB
1- Given triangle ABC, prove that an internal bisectors of an angle of a triangle divides the opposite sides (internally) into two segments proportional to the adjacent sides of the triangle. That is prove that DB/DC = AB/AC. (D is the point where e internal bisector of <A meets with BC) 2- Given triangle ABC with in-center
Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m. a)How long is the plastic edging that Caitlyn will need to surround the garden? b) What will
Geometry Proofs : Triangles and Internal and External Bisectors; Length of Altitude ( Height) and Isoceles Triangles
1- If we have a triangle ABC, then prove that the internal and external bisectors of the angle of a triangle are perpendicular (assume for angle A) 2- Prove that given triangle ABC with the altitude from B of the same length as the altitude from C, then the triangle must be isosceles.
This is a intermediate algebra problem using a triangle to find the length of the side marked x. Please see attached problem.
(See attached file for full problem description) --- The question is =========== Let S_(n,0), S_(n,1), and S_(n,2) represent the sums of every third element in the nth row of Pascal's Triangle beginning on the left. For example: Row 5: 1 5 10 10 5 1 So, S_(5,0) = 1 + 10 = 11 S_(5,1) = 5 + 5 = 10 S_(5,2) =
See attached pdf file for problem and diagram regarding angles.