Question

The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triangle?

Answer 1

Obtuse

Explanation:

1. You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle.
2. you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If
   `c^(2)` =
   `a^(2) +b^(2)` then it is a right triangle. If
   `c^(2) >a^(2) + b^(2)` then it is an obtuse triangle. if
   `c^(2) < a^(2) +b^(2)` then it is an acute triangle.

1. 
   `10^(2)` _
   `3^(2) + 8^(2)`
2. 9+64_100
3. 70_100
4. 70<100

in this case
`c^(2)` is greater than
`a^(2) +b^(2)` therefore, is it an obtuse triangle.