Question 1. Prove the converse of the isosceles triangie theorem: if a triangle has two angles...
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.
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.
10. Write a Python program to check if a triangle is equilateral, isosceles or scalene. An equilateral triangle is a triangle in which all three sides are equal. A scalene triangle is a triangle that has three unequal sides An isosceles triangle is a triangle with (at least) two equal sides
prove that a triangle is isosceles if and only if two altitudes are congruent. prove both ways
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...
***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...
The length of the base of an isosceles triangle is 41.69 inches. Each base angle is 29.24°. Find the length of each of the two equal sides of the triangle. (Hint: Divide the triangle into two right triangles.)
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...
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.
2) (i) State the converse of the Alternate Interior Angle Theorem in Neutral Geometry. (ii) Prove that if the converse of the Alternate Interior Angle Theorem is true, then all triangles have zero defect. [Hint: For an arbitrary triangle, ABC, draw a line through C parallel to side AB. Justify why you can do this.] 5) Consider the following statements: I: If two triangles are congruent, then they have equal defect. II: If two triangles are similar, then they have...