The triangles have a scale of 3: 5. What is the value of a? *
1 answer:
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Answer:
obtuse triangle, because 22^2 + 51^2 = 54^2
Step-by-step explanation:
Well an easy way to start it off would be to draw it.
When you draw it out, it makes it easier to see and determine what type of triangle it is so you can use process of elimination.
I've included a picture so you can see.
As you can see, the blue represents the angle that's different than the rest. Since its larger than 90 degrees its an obtuse angel.
Even though there's two acute angels, the triangle is obtuse.
So we can use process of elimination to determine that its not the first two.
Next, to determine if it is obtuse or acute, usually your supposed to use a^2 + b^2 = c^2
So lets do that.
A=AB (22)
B=AC (51)
C=BC (54)
C will always be the largest side.
so lets set it up. 22^2 + 51^2 > 54^2
22^2 = 484
51^2 = 2601
54^2 = 2916
484 + 2601 > 2916
3085 > 2916
The statement is true showing that its obtuse.
If c was equal to a and b then it would be right.
If a and b was less than c then it would be acute.
So the answer would be the last option.
If you ever need more help, don't be afraid to reach out. I hope that helps!
