A triangle has leg lengths of 8, 12 and 14. Classify the triangle(1 point) Responses Acute Acute Obtuse Obtuse Right

Answer 1

To classify the triangle, we need to determine the relationship between the square of the longest side (14^2), and the sum of the squares of the other two sides (8^2 + 12^2).

14^2 = 196
8^2 + 12^2 = 64 + 144 = 208

Since 196 is less than 208, the triangle is not obtuse.

Now let's check if the triangle is right:

If 14^2 = 8^2 + 12^2, then the triangle is right.

14^2 = 196
8^2 + 12^2 = 64 + 144 = 208

Since 196 is not equal to 208, the triangle is not right.

Therefore, the triangle with leg lengths 8, 12, and 14 is classified as acute.