How do you determine if they can be angle measures of a triangle?

How do you determine if they can be angle measures of a triangle?

If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry. We can use this idea to find the measure of angle(s) where the degree measure is missing or not given.

What are the angle measures of the triangle 6 12?

Answer: The measure of angle A is 30 degree, measure of angle B is 90 degree and measure of angle C is 60 degree. Step-by-step explanation: The measures of given sides are 6, 12, .

How do you find the side length of a 30 60 90 Triangle?

30-60-90 Triangle Ratio

1. Short side (opposite the 30 degree angle) = x.
2. Hypotenuse (opposite the 90 degree angle) = 2x.
3. Long side (opposite the 60 degree angle) = x√3.

What are the lengths of a 30 60 90 Triangle?

30°-60°-90° Triangles The measures of the sides are x, x√3, and 2x. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

What is the measure of angle ABC?

Angle ABC is a straight angle, or 180°.

How many triangles can be constructed with three angles each measuring 63?

Step-by-step explanation: There is no such thing as a triangle with three angles measuring 63 degrees each. On the other hand, an equilateral triangle has three equal angles measuring 60 degrees each. If each angle is 60 you can only make one triangle.

How many triangles can be constructed with angles measuring 90 60 and 60?

Answer Expert Verified So if we have a triangle with angles , , and , . The angles of our triangle measure 90°, 60°, and 60°; so lets add them: Since the sum of the angles of our triangle is not 180°, we can conclude that none triangle with those angle’s measures can be constructed.

How many triangles can be constructed with three angles each measuring 66?

Answers. In order for these angles to construct a triangle, the sum of the three angles must be 180°. Since, the sum of the angles is not 180° . Therefore, no triangle can be drawn using the angles 66°, 66° and 66°.

How many triangles can be constructed with three angles each measuring 64?

The answer is none. This is because angles in a triangle must add up to 180°, so if you have three angles that are 64° the total would be 192°.

How many triangles can be constructed with angles measuring 25 degrees 25 degrees and 130 degrees?

All triangles must equal 180°, so 25+25=50. 50+130=180. By that knowledge, only one full triangle can be created.

How many triangles can be constructed with angles measuring 50o 90o and 40o more than one?

Answer Expert Verified Similarly, all the triangles with the same measurements of the angles must be similar. Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.

How many triangles can be constructed with sides measuring 6 cm 2 cm and 7 cm?

three possible

How many triangles can be constructed with sides measuring 7 cm 6 cm and 9 cm?

Answer: Only one triangle is possible.

How many triangles can be constructed with side 2 cm 3 cm and 4 cm?

yes it is possible to draw a triangle having sides 2cm,3cm,4cm. because sum of two sides is greater than third side.

How many unique triangles can make?

With this information, one unique triangle can be made. Sometimes, two or more different triangles can be made with three given measures. For example, here are two different triangles that can be made with an angle measuring and side lengths 6 and 8. Notice the angle is not between the given sides.

How many triangles can be made with 3 sides?

two triangles

How many triangles are possible with SSS?

5.9 Possible Triangles with Side-Side-Angle.

What does a unique triangle look like?

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

How do you tell if you can make more than one triangle?

We need to find the measure of angle B using the Law of Sines: If their sum is less than 180°, we know a triangle can exist. To determine if there is a 2nd valid angle: See if you are given two sides and the angle not in between (SSA). This is the situation that may have 2 possible answers.

What does a unique triangle mean?

A unique triangle means there is ONLY ONE WAY to create the triangle. All unique triangles are congruent (the same) even though you may have to “flip” or “turn” them to line up. Criteria For A Unique Triangle.

What is special about Triangle?

The angles inside the triangle are also important. The sum of the angles is always 180°. Triangles are special because they are exceptionally strong. Out of all the two-dimensional shapes we can make out of straight struts of metal, only a triangle is rigid.

What are the 3 sides of a triangle?

Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric.

How do you call the longest side of the triangle?

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.