Answer:
It is an obtuse triangle.
Explanation:
To determine whether the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Let's first determine which side is the longest.
48 is the largest of the three sides, so we'll use it as the hypotenuse.
Now we can apply the Pythagorean Theorem:
a^2 + b^2 = c^2
where a and b are the shorter sides and c is the hypotenuse.
Plugging in the values, we get:
46^2 + 20^2 = 48^2
2116 + 400 = 2304
2516 = 2304
Since 2516 is greater than 2304, we can see that the triangle is obtuse.