It is usually best to find the largest angle first, the one opposite the longest side. Then, set up a proportion using the Law of Sines to find the second angle. Finally, subtract these angle measures from 180° to find the third angle.
What is the largest angle possible?
The largest possible value of an interior angle could be is 180 .
How do you know which angle is the smallest?
So, if given three side lengths, in order to put the angles in order from smallest to largest, first find the smallest angle by finding the angle opposite the smallest side, then, the medium-sized angle by finding the angle opposite the medium-sized side, and the largest angle opposite the largest side.
What is the greater angle?
Here we will prove that if two angles of a triangle are unequal, the greater angle has the greater side opposite to it.
Which is the shortest side in right angle triangle?
In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.
Which side of XYZ is the longest?
Answer: XY is the longest side in the given ΔXYZ.
What angle is opposite the longest side?
The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.
Does an angle get bigger if you make it’s lines longer?
Acute angles frequently are overestimated, an effect that has been attributed to lateral inhibi- tory mechanisms. … However, in Experiments 1 and 2, it was found that angles with longer arms were judged larger.
Which shows the order of the angles from smallest to largest?
Answer Expert Verified
Since the smallest side is AC, this means the smallest angle is angle B. Since the middle length side is BC, the middle sized angle is A. Since the longest side is AB, the largest angle is C. This means the order from smallest to largest is B, A, C.
Are angles opposite equal sides equal?
From this we learn that if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is an isosceles triangle. We also know the converse: if two sides of a triangle are equal, their opposite angles are equal, and the triangle is isosceles.
How do you prove that angles are opposite to greater side is greater?
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Which one of the following is the value of congruency?
Answer. If all three sides of a triangle are equal to their corresponding sides of another triangle, then the two triangles are congruent. If two sides and their including angle of a triangle are equal to the corresponding sides and angle of another triangle, then the two triangles are congruent.
Which angle is the smallest in a triangle?
It’s because the angle, 57 degrees, is the smallest of the three angles.
Which angle is the smallest angle of the triangle?
To find the measure of the smallest angle of the triangle, we multiply 4 times 10. So, 4 x 10 = 40. The answer is 40 degrees. Remember, the sum of the angles of a triangle is 180 degrees.
How do you find an angle of a triangle with 3 sides?
To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle. and finally use angles of a triangle add to 180° to find the last angle.
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In this triangle we know the three sides:
- a = 8,
- b = 6 and.
- c = 7.