Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and Δ ABF...

Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and Δ ABF outside of Δ ABC . Prove that the circumcircles of Δ BCD , Δ CAE , and Δ ABF are concurrent (go through the same point).

Expert Solution

milcah answered 2 years ago

1 (a) Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and...

1 (a) Given Δ ABC , construct equilateral triangles Δ BCD , Δ CAE , and Δ ABF outside of Δ ABC . Prove that AD = BE=CF . (b)Let ABCD be a convex quadrilateral. Show that the sum of the two diagonals of ABCD is less than the perimeter P of ABCD, but more than the semiperimeter P 2 of ABCD.

How to calculate the distance between triangles If you have two equilateral triangles and a different...

How to calculate the distance between triangles If you have two equilateral triangles and a different area and one inside the other please simple anwser

If equilateral triangles are constructed on the sides of any triangle, prove that the distances between...

If equilateral triangles are constructed on the sides of any triangle, prove that the distances between the vertices of the original triangle and the opposite vertices of the equilateral triangles are equal.

1. Given an equilateral triangle ABC with a side of 5 cm. Find the probability that...

1. Given an equilateral triangle ABC with a side of 5 cm. Find the probability that a point taken at random will be located from point A at a distance greater than 2 cm. 2. There are two boxes: inside the first 10 white and 15 black balls, inside the second 10 white and 10 black balls. 5 balls are transferred from the first box to the second and then one ball is removed from the second box at random,...

36) Construct BCD counter and draw block diagram of a three-decade decimal BCD counter. The following...

36) Construct BCD counter and draw block diagram of a three-decade decimal BCD counter. The following must be included (5points) : - a) The truth table of BCD counter b) The implementation of BCD counter c) The three-decades BCD counter

Illustrate in detail how to construct a BCD to 7-segment Decoder.

Given the values of Δ H ∘ rxn , Δ S ∘ rxn , and T...

Given the values of Δ H ∘ rxn , Δ S ∘ rxn , and T below, determine Δ S univ(J/K) (for each part ) . A)ΔH∘rxn= 121 kJ , ΔS∘rxn=− 248 J/K , T= 297 K , B)ΔH∘rxn=− 121 kJ , ΔS∘rxn= 248 J/K , T= 297 K C)ΔH∘rxn=− 121 kJ , ΔS∘rxn=− 248 J/K , T= 297K. D)ΔH∘rxn=− 121 kJ , ΔS∘rxn=− 248 J/K , T= 546 K

Construct a BCD counter that counts from 3 to 8, and back to 3.

Show that of all isosceles triangles with a given perimeter , the one with greatest area...

Show that of all isosceles triangles with a given perimeter , the one with greatest area is equilateral.

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions....

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 77, b = 104, ∠A = 24° ∠B1 = ° ∠B2 = ° ∠C1 = ° ∠C2 = ° c1 = c2 =

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