To determine: Whether the triangle ABC and GHI are similar to each other. Given: Triangle ABC that is 75% of its corresponding side in triangle DEF. Triangle GHI that is 32% of its corresponding side in triangle DEF.

Jerold 2021-03-02 Answered
To determine: Whether the triangle ABC and GHI are similar to each other.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Theodore Schwartz
Answered 2021-03-03 Author has 99 answers
Calculation:
Since, ABCDEF then,
ABDE=BCEF
=ACDF
Since, GHIDEF then,
GHDE=HIEF
=GIDF
If all sides of the triangle are similar then, its angles are also similar to each other.
Then, the triangles ABCGHI since, the triangle DEF is similar in both the triangle by SAS similarity.
Therefore, the triangle ABC and GHI are similar to each other by SAS similarity.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more