Answer:
the answer is b. Triangle B is not a unique triangle
Step-by-step explanation:
Triangle B is not a unique triangle.
In Triangle B, two sides have a length of 10 cm, and the included angle measures 60°.
To determine if a triangle is unique, we need to consider the side-side-angle (SSA) criterion. According to this criterion, if we know the lengths of two sides and the measure of the included angle, there can be two possible triangles, one unique triangle, or no triangle at all.
In the case of Triangle B, we have two sides of length 10 cm and an included angle of 60°. The side-side-angle criterion states that if the included angle is not between the two given sides, there can be two possible triangles. This means that Triangle B is not a unique triangle since there is another possible triangle with the same given side lengths and included angles.
Therefore, the answer is b. Triangle B is not a unique triangle.
Answer:
b. Triangle B is not unique
Step-by-step explanation:
A unique triangle is a triangle that has distinct properties that differentiate it from other triangles. In other words, it is a triangle that cannot be matched exactly by any other triangle under the given conditions or specifications.
Triangle A is an equilateral triangle, hence it doesn't share this property with other types of triangle
Triangle B is an Isosceles triangle with two equal sides and an angle given. if you have two sides of length 10 cm and an angle of 60° between them, there are multiple possible configurations for the remaining side.
Triangle C has equal bases given and a side given. As such, Triangle C is unique because its specifications (base length and angles) determine its shape and size uniquely.
Triangle D has all angles measuring 60°, so it must be an equilateral triangle. Equilateral triangles have the unique properties of being symmetric with a fixed shape.
