For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.

Answer:

the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"

Step-by-step explanation:

I got it right one edge

From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The table shows the set of measures, we need to determine which condition can make triangles.

Condition 1:

AB = 15 cm, BC = 20 cm, ∠B = 40°

By SAS criteria, this condition can form a triangle.

Condition 2:

AB = 20 cm, BC = 15 cm, ∠C = 40°

Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.

Condition 3:

BC = 10 cm, BC = 5 cm, ∠A = 20°

Here side length of BC alone is given. With one side and one angle, no triangle can be formed.

Condition 4:

AC = 5 cm, BC = 10 cm, AB = 14 cm

Here three sides are given, so we can form a triangle.

Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.

Learn more about triangles here

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