WILL RATE BRAINLIEST !!!!!!!! Which pair of triangles can be proven congruent by the HL theorem?
2 answers:
Answer: Its the third pair which can be proven by the HL theorem
Step-by-step explanation:
HL theorem states that if hypotenuse and one leg of two right triangles are congruent then the triangles are said to be congruent.
In first picture there is two right triangle with equal hypotenuse but not any leg. So HL theorem cannot be applied.
In second picture there is no right triangle. So HL theorem cannot be applied
In third triangle there is two right triangle with equal hypotenuse and legs therefore by HL theorem they are congruent.
In fourth picture they are not right angle. So HL theorem cannot be applied
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Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
We can factor out 3^2 = 9 from both equations:
We know from a trigonometric identity that , meaning we can reduce the equation to:
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.