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}
5.2.5. Prove that the sides of the orthic triangle cut off three triangles that are all similar t...
NOTE: Please do not copy paste already existing answers. Q) Q) Prove the Converse to the Similar Triangles Theorem (Theorem 5.3.4) Theorem 5.3.4 (Converse to Similar Triangles Theorem). If△ABC and △DEF are two triangles such that AB/ DE = AC/ DF = BC/ EF, then △ABC ~ △DEF. Prove the following Angle-Side-Angle criterion for similarity: If AABC and ADEF are two triangles such that LCA B-LFDE, LABC-LDEF, and DE = r . AB, then AABCADEF with common ratio r Prove...
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.
Show all work please!!! 9) Prove the converse of the Pythagorean theorem: If the three sides satisfy a2 + b2 = c2 then the triangle is a right triangle.
Question 3 5 pts Write the negation of the statement: All triangles have three sides. No triangles have three sides. All triangles have more than three sides. Some triangles do not have three sides. Ο Ο Some triangles have three sides.
Question 3 5 pts Write the negation of the statement: All triangles have three sides. No triangles have three sides. All triangles have more than three sides. Some triangles do not have three sides. Some triangles have three sides. Question 4 5 pts Use De Morgan's laws to write a statement that is equivalent to the statement given: It is not true that Napoleon Bonaparte was a rock star or a nurse. Napoleon Bonaparte was neither a rock star or...
A triangle is expressed by tuples of three positive numbers, which are the length of sides of the triangle. Two triangles a1 and a2 are similar if a2 can be generated by rotating and reflecting triangle a1. For example, t1 = (7, 10, 13) is similar to t2 = (7, 13, 10) since a2 can be obtained by rotating and reflecting t1. (7, 10, 13) rotate −−−→ (10, 13, 7) reflect −−−−→ (7, 13, 10) On the other hand, t1...
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,...
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.
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all Solve each triangle that results. a=15, c=18, A=53° Select the correct choice below and, if necessary, to in the answer boxes to complete your choice (Round side lengths to the nearest tenth and angle measurements to the nearest degree as needed.) A. There is only one possible solution for the triangle The measurements for the remaining side b...
***IN PYTHON: Scalene triangle: All sides have different lengths Isosceles triangle: Two sides have the same length Equilateral triangle: All sides are equal Write a program to ask for the length of 3 sides a, b and c. Ask for three sides at a time Determine the type of triangle given three sides Handle all kinds of errors - 1. not integers, int() conversion fails 2. not enough args, 3. too many arguments HINT: use the len() function to check...