1. Is a triangle with sides of 20, 30, and 11 acute, obtuse, right, or not a triangle.

obtuse

Step-by-step explanation:

Given the 3 sides 20, 30 and 11

For the sides to form a triangle then the sum of any 2 sides must be greater than the third side.

20 + 30 = 50 > 11

20 + 11 = 31 > 30

30 + 11 = 41 > 20

Thus the 3 sides form a triangle

To determine what type of triangle it is

let c be the longest side and a, b the other 2 sides

• If a² + b² = c² then triangle is right

• If a² + b² > c² then triangle is acute

• If a² + b² < c² then triangle is obtuse

Here c = 30, a = 20, b = 11

c² = 30² = 900

a² + b² = 20² + 11² = 400 + 121 = 521

Since a² + b² < c² then triangle is obtuse

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents