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what- complete the proof that ABC is isosceles?
45
If the median to a side of a triangle is also an altitude to that side then the triangle is isosceles How do you write this Proof?
Let the triangle be ABC and suppose the median AD is also an altitude.AD is a median, therefore BD = CDAD is an altitude, therefore angle ADB = angle ADC = 90 degreesThen, in triangles ABD and ACD,AD is common,angle ADB = angle ADCand BD = CDTherefore the two triangles are congruent (SAS).And therefore AB = AC, that is, the triangle is isosceles.
Nina has prepared the following two-column proof below. She is given that and angOLN and cong and angLNO and she is trying to prove that OL and cong ON. Triangle OLN where angle OLN is congruent to an?
To prove that ( OL \cong ON ), Nina can use the properties of isosceles triangles. Given that ( \angle OLN \cong \angle LNO ) and ( \triangle OLN ) has these equal angles, by the Isosceles Triangle Theorem, the sides opposite those angles must be congruent. Therefore, ( OL \cong ON ) follows from the fact that the angles are congruent.
What do the inside angles of a triangle add up to?
180 Proof: 30-60-90 Triangle 45-45-90 * * * * * The answer is correct, but two examples (or even a million) do not constitute mathematical PROOF.
How do you finish a proof that bc is congruent to de on a triangle?
The proof would finish with the statement:"Therefore, bc is congruent to de".
which completes the paragraph proof?
converse of the isosceles triangle theorem
complete the paragraph proof?
converse of the isosceles triangle theorem
What is the proof showing that the heights of a triangle are concurrent?
There cannot be a proof because the statement need not be true.
What are The vertices of are D(7 3) E(4 -3) and F(10 -3). Write a paragraph proof to prove that is isosceles.?
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.
what- complete the proof that ABC is isosceles?
45
If the median to a side of a triangle is also an altitude to that side then the triangle is isosceles How do you write this Proof?
Let the triangle be ABC and suppose the median AD is also an altitude.AD is a median, therefore BD = CDAD is an altitude, therefore angle ADB = angle ADC = 90 degreesThen, in triangles ABD and ACD,AD is common,angle ADB = angle ADCand BD = CDTherefore the two triangles are congruent (SAS).And therefore AB = AC, that is, the triangle is isosceles.
If the largest angle of an isosceles triangle measures 106 find the measure of the smallest angle?
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.
What is proof of Pythagoras's theorem?
It can be shown that for any right angle triangle that its hypotenuse when square is equal to the sum of its squared sides.
What does Pythagoras most famous proof state?
Pythagoras most famous proof is the pythagorean proof . It states that in a right angled triangle , the square of hypoteneus ( the longest side of the triangle ) is equal to the sum of squares of the other two sides .
What are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle triangle?
The following is the answer.
Why do you have to divide by 2 for a triangles base and height?
When calculating the area of a triangle, you need to divide by 2 because the formula for the area of a triangle is 1/2 multiplied by the base multiplied by the height. This is because a triangle is essentially half of a rectangle, and the formula reflects this relationship. Dividing by 2 ensures that you are finding the correct area for the given triangle based on its base and height dimensions.
Dimensions of an isosceles triangle of largest area that can be inscribed in a circle of radius r?
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.
