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If the largest angle of an isosceles triangle measures 106 find the measure of the smallest angle?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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What is the measure of the largest exterior angle of an isosceles right angle?
A isosceles right angle triangle will have 2 equal interior angles of 45 degrees and 1 angle of 90 degrees with its largest exterior angle being 180 -45 = 135 degrees.
If one angle of an isosceles triangle is 60 then how many more degrees are in the largest angle than in the smallest Answers A-0 B-5 C-10 D-It cannot be determined from the given information?
If one angle is 60, other 2 also 60. hence answer is 0
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.
How can you determine which angle is the largest in a triangle?
The largest angle in a triangle is opposite to its longest side
What is the area of a perpendicular triangle?
I do believe you mean RIGHT triangle when you said perpendicular triangle. A right triangle has two legs and a hypotenuse. The area of a right triangle is 1/2 * (first leg) * (second leg) How do you determine which ones are the legs and which one is the hypotenuse? The hypotenuse is ALWAYS the largest number. So, choose the 2 smallest numbers.
Is it true that the largest angle of a triangle is between the two longest sides?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
What measures of the three angles of a triangle form an arithmetic sequence If the smallest angle measures 45 degrees What is the number of degrees in measure of the largest angle?
80
In an isosceles triangle are the base angles the biggest?
The two base angles are equal to one another. They may either be the two smallest, or the two largest, angles.
The smallest angle in a triangle measures 90 degrees less than the largest angle The middle angle measures 60 degrees less than the largest angle?
The angles are, 20°, 50°, and 110°.
What is the measure of the largest exterior angle of an isosceles right triangle?
135 degrees.
The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles?
Sum of all the angles in the triangle has to be 180 degrees. Let's mark the largest angle as x. Then, smallest angle will be 0.5x and the middle one x-25. x + 0.5x +x - 25 = 180, which is after simplyfying: 2.5x = 205 x = 82 degrees -> the largest angle, x-25 = 57 degrees -> middle one, 0.5x = 41 degrees -> the smallest angle.
What is the measure of the largest exterior angle of an isosceles right angle?
A isosceles right angle triangle will have 2 equal interior angles of 45 degrees and 1 angle of 90 degrees with its largest exterior angle being 180 -45 = 135 degrees.
How is a right triangle and scalene triangle different?
A scalene specifies that no two sides and no two angles are equal. A right triangle has one side that is a right or 90 degree angle. A scalene triangle can be a right triangle {a 3-4-5 right triangle or a 30°-60°-90° right triangle, for example}. A scalene triangle can also be an acute or obtuse triangle. Note this: there is only one case of a right triangle, which is non-scalene. This is the isosceles right triangle with angles 45°, 45° & 90°, and sides sqrt(2), 1 & 1. All other right triangles are scalene. The terms scalene, isosceles, and equilateral refer to how the side lengths are related to each other. The terms right, acute and obtuse refer to angles, specifically the largest angle: obtuse - the largest angle is greater than 90°; right - the largest angle equals 90°; acute - the largest angle is less than 90°. The terms referring to angles are not necessarily mutually exclusive with the terms, which refer to side lengths (except for equilateral). So you can have an isosceles obtuse (a shallow pitched roof), or isosceles right (example above), or isosceles acute (a very steep pitched roof).
Relations among the angles of a triangle?
In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.
If one angle of an isosceles triangle is 60 then how many more degrees are in the largest angle than in the smallest Answers A-0 B-5 C-10 D-It cannot be determined from the given information?
If one angle is 60, other 2 also 60. hence answer is 0
What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
If you know all three sides of a triangle, you can calculate the angles using the law of cosines. If you only want to know which angle is the smallest, it is much simpler: The angle that is opposite to the smallest side is the smallest angle; the angle that is opposite to the largest side is the largest angle.
In any triangle the greater angle lies opposite the greater?
Any triangle has its largest angle opposite the longest side, and the smallest angle opposite the shortest side.
