Prove If equilateral triangles are constructed on the sides of any triangle, the segments joining the...
Prove If equilateral triangles are constructed on the sides of any triangle, the segments joining the ertices of the original triangle to the opposite vertices of the equilateral triangle are concurrent.
Homework Answers
Thanks
Add Answer to:
Prove If equilateral triangles are constructed on the sides of
any triangle, the segments joining the...
isosceles triangles BCX,CAY, and ABZ are constructed externally on the sides of a triangle ABC. show...
isosceles triangles BCX,CAY, and ABZ are constructed externally on the sides of a triangle ABC. show that the centroids of triangle ABC and triangle XYZ coincide
42. Prove that the perpendicular bisectors of the sides of a triangle are concurrent. (Hint: Let...
42. Prove that the perpendicular bisectors of the sides of a triangle are concurrent. (Hint: Let O be the intersection of two of the perpendicular bisectors. By finding congruent triangles, prove that the line through O perpendicular to the third side is also a bisector.)
I first discovered that the area of the equilateral triangle is . I then considered a...
I first discovered that the
area of the equilateral triangle is
. I then considered a point in the center of a triangle, and then
connected it to each of the vertices. From there I gathered that
each of the 3 triangles formed by these line segments gave an area
of
. Please use the pigeonhole principle to explain.
Consider an equilateral triangle of side equal to 1. Choose 7 points inside the triangle, arbitrarly. Show that three of them...
5.2.5. Prove that the sides of the orthic triangle cut off three triangles that are all similar t...
5.2.5. Prove that the sides of the orthic triangle cut off three triangles that are all similar to ABC. Specifically, if A’B’C’ is the orthic triangle for ABC, and ABC is not a right triangle, then ABC ~ AB’C’ ~ A’B’C {Use SAS similarity criterion}
Geometry: The Line and the Circle, 10. Prove that the triangle formed by joining the midpoints...
Geometry: The Line and the Circle,
10. Prove that the triangle formed by joining the midpoints of the three sides of an isosceles triangle is also isosceles.
Two particles with charges 4e and -4e are fixed at the vertices of an equilateral triangle...
Two particles with charges 4e and -4e are fixed at the vertices of an equilateral triangle with sides of length a. If k = 1/4 Pi constant Epsilon_0, what quantity of work is required to move a particle with a charge q from the other vertex to the center of the line joining the fixed charges?
Consider an equilateral triangle with sides of length 5cm where each of the three vertices carry...
Consider an equilateral triangle with sides of length 5cm where each of the three vertices carry a charge. The top vertex carries a charge of +9.0µC, while the bottom vertices each carry a charge of?5.0µC. (a) (7 points) What is the magnitude and direction of the electric field at the center of the triangle? (b) (3 points) If the center of the triangle contained a proton, what would the force be of the charged vertices on the proton?
An equilateral triangle is a triangle with all three sides of equal length. All of the...
An equilateral triangle is a triangle with all three sides of equal length. All of the angles in an equilateral triangle are equal. What is the measure of angle θ in the triangle shown?(Figure 1) Recall that the sum of the angles in a triangle equals 180∘. Express your answer in degrees.
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If...
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.
Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. a = 7, c=5, C = 40° Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) A. A single triangle is produced, where B≈_______ , A≈_______ , and b ≈ _______ B. Two triangles are produced,...
42. Prove that the perpendicular bisectors of the sides of a triangle are concurrent. (Hint: Let O be the intersection of two of the perpendicular bisectors. By finding congruent triangles, prove that the line through O perpendicular to the third side is also a bisector.)
I first discovered that the
area of the equilateral triangle is
. I then considered a point in the center of a triangle, and then
connected it to each of the vertices. From there I gathered that
each of the 3 triangles formed by these line segments gave an area
of
. Please use the pigeonhole principle to explain.
Consider an equilateral triangle of side equal to 1. Choose 7 points inside the triangle, arbitrarly. Show that three of them...
Geometry: The Line and the Circle,
10. Prove that the triangle formed by joining the midpoints of the three sides of an isosceles triangle is also isosceles.
Two particles with charges 4e and -4e are fixed at the vertices of an equilateral triangle with sides of length a. If k = 1/4 Pi constant Epsilon_0, what quantity of work is required to move a particle with a charge q from the other vertex to the center of the line joining the fixed charges?
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
Most questions answered within 3 hours.
-
earth which orbits the sun in an elliptical path
reaches its closest point to the sun...
asked 4 minutes ago -
Private saving in an economy is given by Sv = 100 + 50 r, while
gross...
asked 14 minutes ago -
1) How many milliliters of 0.20M PMSF stock solution do you need
to make 80 mL...
asked 22 minutes ago -
The natural rate of unemployment is also called: A.
accelerating deflation rate of unemployment. B. accelerating...
asked 19 minutes ago -
This is an Economics Question
When using the SAS software for Economic calculations,
write the code...
asked 24 minutes ago -
wWhat situation is ideally suited to valuation with the dividend
growth model?
asked 47 minutes ago -
Direct Labor Variances
Bellingham Company produces a product that requires 2 standard
direct labor hours per...
asked 47 minutes ago -
A munitions warehouse contains 50 bombs, of which 3 are
defective (6%). A sample of 10...
asked 1 hour ago -
List 6 factors you should consider when designing indexes.
Please explain your answers.
asked 1 hour ago -
Hello
I am beginner in JAVA but that does not mean i
cant do a perfect...
asked 59 minutes ago -
is
it possible for a change in one nucleotide of an organism’s DNA to
result in...
asked 1 hour ago -
Project 5 - intro to python
Write a program in python that calculates the amount of...
asked 1 hour ago