Which triangle is △ABC similar to and why?
1 answer:
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Answer:
(-1.92, 1.08)
Step-by-step explanation:
The <em>incenter</em> is the center of the largest circle that can be inscribed in the triangle. That circle is called the <em>incircle</em>. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the <em>inradius</em> (the radius of the incircle), is found from a simple formula:
r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs
In your triangle, the inradius is ...
r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452
Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...
incenter ≈ (-1.92, 1.08)
Answer:
48
Step-by-step explanation:
You will be using the Pythagorean theorem for this problem. assuming the bigger triangle is double the size of the smaller triangle on the right, we would first plug in the numbers for the smaller triangle: which would come out to 21.7. then we could say that since like i said before the bigger triangle is double the other one, the bottom side of the triangle would be 32 (16 + 16) and would use the pythagorean theorem again, giving us our answer.