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How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Enter a number in the box.

Listen How Many Unique Triangles Can Be Formed With Two Side Lengths Of 10 Centimeters And One 40 Angle Enter A Number In The Box class=

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Answer:

2 unique triangles

Step-by-step explanation:

We can only form two triangles

Since two of the sides are equal, we can form two isosceles triangles

The first one will have 10, 10 , the last side, then 40, 70 , 70 as the internal angles

Just note that the angles must add up to be 180 and that there are two equal angles as we are dealing with an isosceles triangle

The second form is 10, 10 , 40 , 40 and 100

Here, we have the 40 on the sides of the base of the isosceles triangle with the measure 100 being the last angle

The number of unique triangles that can be formed with he given parameters are; 2

We are told that;

Two side lengths of the triangle = 10 cm

One angle = 40°

  • This means the that the triangle can be an isosceles triangle.

Now, the two equal angles could be 40° each.

  • Sum of angles in a triangle = 180°

Thus;

Third angle of the triangle = 180 - 2(40) = 100°

  • Now,if we assume that the 40° is not the equal angle, then it means that the equal angle will be;

(180 - 40)/2 = 140/2

>> 70°

Thus, we can make 2 unique isosceles triangles.

Read more about Isosceles triangle at; https://brainly.com/question/24371813

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