Answer:
From the information we can conclude that the triangle is a isosceles triangle.
First, we can calculate the hypotenuse by using pythagorean theorem:
√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)
To calculate the area of the triangle, we first need to know the height of it.
Since this is a isosceles triangle, the altitude (which is also the height) will also be the median of that triangle.
Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.
From the reasoning above, we can now calculate the height of the triangle:
8/2 = 4(cm)
The area of the triangle should be:
S = hb/2 = (4 . 6)/2 = 12 (cm²)
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:
To find the area of the circumscribed circle:
To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:
The area of the triangle is:
The semiperimeter of the triangle is:
The radius of the circle is therefore 
The area of the inscribed circle then is 
.
Hope this helps!
Answer:
Step-by-step explanation:
I always like to use the mean if I can. In this data set, it's probably not a very good idea. Too much weight is given to that 7.2 and the two 3.2s.
I would choose the median, because the mode is the same answer and that's a good enough reason for choosing anything. 2 out 3 isn't bad as they say in Baseball.
Answer:
Its upside down.
Step-by-step explanation:
