0
Still curious? Ask our experts.
Chat with our AI personalities
Taiga
Judy
DevinAdd your answer:
Earn +20 pts
Mathematics similarities of triangles?
Two triangles are considered to be similar if for each angles in one triangle, there is a congruent angle in the other triangle.Two triangles ABC and A'B'C' are similar if the three angles of the first triangle are congruent to the corresponding three angles of the second triangle and the lengths of their corresponding sides are proportional as follows: AB / A'B' = BC / B'C' = CA / C'A'
What is triangular theorem SSS?
If three sides of one triangle are congruent tothree sides of a second triangle, then the three triangles are congruent.
What states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent?
It is a congruence theorem. There are several of them and they are not all numbered the same way.
What is the meaning of AAA Similarity Theorem?
If three angles of one triangle are congruent to three angles of another triangle then by the AAA similarity theorem, the two triangles are similar. Actually, you need only two angles of one triangle being congruent to two angle of the second triangle.
The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
