Answer:
To use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse, we need to find the length of the longest side (also known as the hypotenuse) by squaring each side, adding the results, and taking the square root of the sum.
So,
63^2 = 3969
58^2 = 3364
30^2 = 900
Now, we add 3969 and 3364 to get 7333, and take the square root to get approximately 85.62.
Since 63, 58, and 30 are the lengths of the sides of the triangle, we can compare the length of the longest side (85.62) to the sum of the other two sides (63 + 58 = 121) to determine if the triangle is right, acute, or obtuse.
85.62^2 = 7326.23
121^2 = 14641
Since 7326.23 is less than 14641, the triangle is acute.