To show: Whether enough information is given to prove that the triangles are congruent using the HL Congruence Theorem.
Answer to Problem 6E
No, the information is not enough to prove that two triangles are congruent.
Explanation of Solution
Given information:
Formula used:
The Hypotenuse-Leg Congruence Theorem
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle , then the two triangles are congruent.
Calculation:
According to the question,
There are two triangles
Now recall that the side opposite the right angle is called the hypotenuse of the right angle.
In both the triangles right angle is at T.
The opposite side will be
Therefore, the opposite sides are not equal.
Hence, the information is not enough to prove that the two triangles are congruent.
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education