Show all work please!!! 9) Prove the converse of the Pythagorean theorem: If the three sides...
please prove Theorem 5.8 (Converse to the Isosceles Triangle Theorem). If two angles of a triangle are congruent to each other, then the sides opposite those angles are congruent.
Activity 7: Right or Not? Develop or reinforce the Pythagorean theorem and its converse and explore the relationship between the lengths of the sides of a triangle and its classification as acute, right, or obtuse Online: Centimeter Graph Paper Other: Scissors PURPOSE MATERIALS Work individually or in pairs. GROUPING From a sheet of graph paper, cut out squares with areas 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and 169 square centimeters. Use three squares to construct a...
Matlab need it in keyboard types not handwriting 2) The Pythagorean theorem states that a2+b2-c2 . Write a MATLAB pro- gram in a script file that finds all the combinations of triples a, b, and c that are positive integers all smaller or equal to 50 that satisfy the Pythagorean the- orem. Display the results in a three-column table in which every row corre- sponds to one triple. The first three rows of the table are: 5 12 13 6...
Question 1. Prove the converse of the isosceles triangie theorem: if a triangle has two angles equal, then the sides opporite the oqual angles are equal
Without using the Pythagorean theorem, prove that two right triangles are congruent if the hypotenuse and leg of one are equal to the hypotenuse and leg of the other. Do this with placing the triangles so that there equal legs coincide and their right legs are adjacent. This will form a large isoceles triangle. Use this to show that the given triangles are congruent by AAS.
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...
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}
e) Use the triangle inequality to prove that (ac + bd)2 (a2 + b2)(c2 + d2) for all a, b, c, d e R. Total: [20 marks] e) Use the triangle inequality to prove that (ac + bd)2 (a2 + b2)(c2 + d2) for all a, b, c, d e R. Total: [20 marks]
8. 2mn, b-m2-n, and c = m2 + n2 be the sides of a a. Let a Pythagorean triangle. Suppose that b -a + 1. Show that (m - n)2 - 2n2 1, and determine all such triangles. b. Find the smallest two such triangles. 8. 2mn, b-m2-n, and c = m2 + n2 be the sides of a a. Let a Pythagorean triangle. Suppose that b -a + 1. Show that (m - n)2 - 2n2 1, and determine...
for this i presented problem number 80 from section 10.4. i need to answer the following questions in the third picture. just those questions. no cursive please its hard to read. Math 213-101 Section 10.4 Discussion #80-Saved to this PC Layout References Mailings Review View Help Tell me what you want to do Problem: Historical Pathways. Throughout recorded history, people in various walls of life have had a recrentional interest in nathematics. For example, Represenlative James A Garfield discovered a...