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fenix001 [56]
3 years ago
9

Which descriptions can describe more than one triangle? check all that apply

Mathematics
2 answers:
babunello [35]3 years ago
5 0

Answer:

Angle measurements of 35°, 35°, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

If you specify only the three angles, you can have an infinite number of similar triangles of different sizes.

A is wrong. There can be only one triangle in which all three side lengths are specified.

C is wrong. The angles do not add up to 180°.

Lena [83]3 years ago
5 0
<h2>Answer:</h2>

The descriptions which can describe more than one triangle is:

  • angle measurements of 35°,35° and 110°.
  • angle measurements of 40°,60° and 80°.
<h2>Step-by-step explanation:</h2>
  • The three given side lengths form a triangle if the sum of any 2 sides is greater than the length of the third side.
  • Also, all the three given angle measure form a triangle if the sum of all the three angles is equal to 180 degree.
  • We know that with the help of given side three lengths of a triangle a unique triangle is formed.
  • and with the help of given three angle measures of a triangle more than one triangle is possible with distinct side length.

a)

Side lengths 6 ft, 8 ft and 10 ft.

First we check whether it form a triangle or not:

6+8=14>10

8+10=18>6

and

6+10=16>8

Yes, these side lengths form a triangle.

With the help of this only one unique triangle is possible.

b)

angle measurements of 35°,35° and 110°

First we check the sum of the angles:

35°+35°+110°=180°

Hence, more than one triangle is possible.

c)

angle measurements of 30°,40° and 50°

First we check the sum of these angles:

30°+40°+50°=120°≠180°

Hence, these angles measure do not form a triangle.

d)

angle measurements of 40°,60° and 80°

First we check the sum of these angles:

40°+60°+80°=180°.

Hence, more than one triangle is possible.

e)

side length of 4 cm, 6 cm and 9 cm.

First we check whether it form a triangle or not:

4+6=10>9

6+9=15>4

and

4+9=13>6

Hence, a unique triangle will be formed.

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