In right triangles and , , , and . Which of the following statements is true?
Options
A
by SSS
B
by HL
C
by SAS
D
The triangles are not congruent
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This question involves determining the congruence of two right triangles.
The main focus is on identifying the correct congruence criterion to use based on the given information about the sides of the right triangles.
Key Concept Explanation:
The Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two right triangles are congruent.
In right triangles, the side opposite the right angle is the hypotenuse.
Step - by - Step Solution:
1. First, identify the hypotenuse and legs in the given right triangles.
- In with , the hypotenuse is and one leg is .
- In with , the hypotenuse is and one leg is .
2. Given that
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