If vertices are at (7, 3) (4, -3) and (10, -3) then it is an isosceles triangle because by using the distance formula it has 2 equal sides of 3 Times Square root 5 and a 3rd side of 6.
A proof written in the form of a paragraph (as opposed to a two-column proof)
You list the steps of the proof in the left column, then you write the matching reasoning for each step in the right column.
The largest possible triangle is an equilateral triangle. Here's a sort of proof - try making some sketches to get the idea. * For any given isosceles triangle ABC that you might inscribe, where AB = BC... * ...Moving vertex A to be perpendicularly above the midpoint of BC will increase the area, since its distance from BC (the height of the triangle) will be at a maximum.* This gives a new isosceles, where AB = AC. * The same thing applies to the new isosceles. You can keep increasing the area in this way until the process makes no difference. If the process can increase the area no further, it can only be because all the vertices are already above the midpoints of the opposite edges. Which means we have an equilateral triangle. Anyhow, to answer the question, an equilateral triangle inscribed in a circle of radius r will have side length d where d2 = 2r2 - 2r2cos(120) from the cosine rule. and since cos(120) = -1/2 d2 = 2r2 + r2 = 3r2 and so d = r sqrt(3) *Equally, move vertex C above the midpoint of AB.
The smallest angle would be = 38 degrees. Proof: Base angles of an isosceles triangle must equ All angles of the triangle must add up to 180 degress considering that the known angle is not under 89 degrees the other two must equal, yet both add up to 76 degrees.
An indirect proof is a proof by contradiction.
converse of the isosceles triangle theorem
converse of the isosceles triangle theorem
A proof written in the form of a paragraph (as opposed to a two-column proof)
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A proof is a very abstract thing. You can write a formal proof or an informal proof. An example of a formal proof is a paragraph proof. In a paragraph proof you use a lot of deductive reasoning. So in a paragraph you would explain why something can be done using postulates, theorems, definitions and properties. An example of an informal proof is a two-column proof. In a two-column proof you have two columns. One is labeled Statements and the other is labeled Reasons. On the statements side you write the steps you would use to prove or solve the problem and on the "reasons" side you explain your statement with a theorem, definition, postulate or property. Proofs are very difficult. You may want to consult a math teacher for help.
paragraph proof
paragraph proof
use spell check write concise sentences have more than 4 sentences in a paragraph write intelligently proof read
supplementary
A paragraph begins and ends with the stating of a main point and its proof. You need to come up with your own paragraph and not try to copy someone else's work. help you to cheat on an assignment.
A+
A+