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To determine which angle measure in a triangle is the largest, you can use the property that the largest angle is opposite the longest side. If the lengths of the sides are known, simply compare them; the side with the greatest length corresponds to the largest angle. Alternatively, if the angles are given, the largest value directly indicates the largest angle measure.
What else can I help you with?
What is the proof that equiangular triangle is also called equilateral triangle?
Label the triangle ABC. Draw the bisector of angle A to meet BC at D. Then in triangles ABD and ACD, angle ABD = angle ACD (equiangular triangle) angle BAD = angle CAD (AD is angle bisector) so angle ADB = angle ACD (third angle of triangles). Also AD is common. So, by ASA, triangle ABD is congruent to triangle ACD and therefore AB = AC. By drawing the bisector of angle B, it can be shown that AB = BC. Therefore, AB = BC = AC ie the triangle is equilateral.
What else would need to be congruent to show that triangle abc is congruent to triangle def by aas?
To show that triangle ABC is congruent to triangle DEF by the Angle-Angle-Side (AAS) criterion, you need to establish that one pair of corresponding sides is congruent in addition to the two pairs of corresponding angles. Specifically, if you have already shown that two angles in triangle ABC are congruent to two angles in triangle DEF, you must also demonstrate that one side of triangle ABC is congruent to the corresponding side in triangle DEF that is opposite to one of the given angles.
How do you find the size of an angle without using a protractor?
If the angle is a lone, random angle, I believe you would need a protractor to determine the precise size of the angle (in "degrees"). However, you could, in this case, roughly guess as to whether the angle is acute, obtuse, or right (if the little rectangle is shown in the angle). Of course, if an angle is in a position where one can determine its measure using known postulates or theorems, finding the size of this angle becomes much easier. For example, if you know the measure of one angle and you must determine the measure of another angle, but these two angles are vertical angles, or are corresponding angles (by the corresponding angles postulate), you can indeed determine the measure of this angle without a protractor. Additionally, another example is that if you knew a pair of angles were either supplementary angles, complementary angles, or a linear pair, and you were given the measure of one of these angles, you could determine the measure of the other angle without a protractor. Therefore, it depends on the angle you're looking at.
What combinations of sides and angles can you use to tell the rest of the information for a triangle?
To find all the other information of a triangle, you would need the information of an SAS (Side Angle Side, in that order), an ASA (Angle Side Angle), or a SSS (Side Side Side). Only triangles shown with this much information can be solved, other than that, you just can't be sure of the rest of the measures of the sides and angles.
Which two reasons can be used to prove the Angle-Angle-Side Congruence Theorem?
The Angle-Angle-Side (AAS) Congruence Theorem can be proven using two main reasons: first, if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent due to the triangle sum theorem. Second, with an included side between these two angles, the two triangles can be shown to be congruent using the Side-Angle-Side (SAS) criterion, as both triangles share the same side and have two pairs of congruent angles.
what- a triangle has the angle measures shown. what is the measure of?
20 degrees
What is the measure of interior angle ABC of the regular polygon shown?
There is no polygon "shown" so it is impossible to answer the question. Additional Information:- If it's an equilateral triangle then each interior angle measures 60 degrees
what- Estimate the measure of the angle shown.?
90
what- Find the measure of the angle shown, in degrees.?
78
What is the proof that equiangular triangle is also called equilateral triangle?
Label the triangle ABC. Draw the bisector of angle A to meet BC at D. Then in triangles ABD and ACD, angle ABD = angle ACD (equiangular triangle) angle BAD = angle CAD (AD is angle bisector) so angle ADB = angle ACD (third angle of triangles). Also AD is common. So, by ASA, triangle ABD is congruent to triangle ACD and therefore AB = AC. By drawing the bisector of angle B, it can be shown that AB = BC. Therefore, AB = BC = AC ie the triangle is equilateral.
What type of triangle has angle A 37 degree angle B 56 degree angle C 87 degree?
Acute triangle - all of the angles are less than a right angle (90°).Scalene triangle - none of the sides or angles are congruent. It can be shown that if no two angles are the same, then no two sides are the same using the Law of Sines and Law of Cosines.
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 a degree angle look like?
A degree is the measurement that measure an angle, such as Newtons measure gravity. It is shown with a small 'o' at the right-hand corner at the end of the last digit number.
what- Mike notices the triangle shown in the design of a building near his house. What are the values of the angle measures?
32, 32, and 116 degrees
What must be shown to be congruent in order to say that the triangles are congruent by SAS?
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
What else would need to be congruent to show that triangle abc is congruent to triangle def by aas?
To show that triangle ABC is congruent to triangle DEF by the Angle-Angle-Side (AAS) criterion, you need to establish that one pair of corresponding sides is congruent in addition to the two pairs of corresponding angles. Specifically, if you have already shown that two angles in triangle ABC are congruent to two angles in triangle DEF, you must also demonstrate that one side of triangle ABC is congruent to the corresponding side in triangle DEF that is opposite to one of the given angles.
Argument to showing that an equilateral triangle cannot have a right angle?
If you have an equilateral triangle ABC, then draw the line from A to D, the mid point of BC. Then in trangles ABD and ACD, AB = AC (equilateral), BD = DC (D is midpoint), and AD is common so these two triangles are congruent and so angle ABD = angle ACD. That is, angle ABC = angle ACB. Similarly the third angle can be shown to be the same. Thus an equilateral triangle is also equiangular. Now, sum of the interior angles of any triangle is 180 degrees. So since sum of three equal angles measures is 180 degrees, they must be 60 degrees each, i.e. NOT 90 degrees so there is no right angle..
