The figure below shows two triangles EFG and KLM: Two triangles EFG and KLM are drawn. Angle KML is a right angle. The measures of the sides of the triangles are, In triangle EFG, EG measures a, GF measure b, and EF measures c. In triangle KLM, KM measures a and ML measures b. Which of the following can be used to prove that triangle EFG is also a right triangle? Prove that the sum of a and c is greater than b. Prove that the sum of a and b is greater than c. Prove that triangles are congruent by SSS property and hence, angle EGF is equal to angle KML. Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Answers
Answer:
c) Prove that triangles are congruent by SSS property and hence, angle EGF is equal to angle KML.
Step-by-step explanation:
c would be the right answer.
a) Prove that the sum of a and c is greater than b -
This is a general property applicable to all Triangles hence would not conclude any specific input to prove right angle triangle
b. Prove that the sum of a and b is greater than
This is a general property applicable to all Triangles hence would not conclude any specific input to prove right angle triangle
c) Prove that triangles are congruent by SSS property and hence, angle EGF is equal to angle KML.
c would be the right answer.
d) Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Two sides are already equal so ratio can not be greater than 1