Question

show instructions
question 3 (3 points)
in \\( \triangle \mathrm { abc } \\), \\( \mathrm { m } \overline { \mathrm { ab } } = 5 \\), \\( \mathrm { m } \overline { \mathrm { bc } } = 6 \\) and \\( \mathrm { m } \overline { \mathrm { ac } } = 8 \\).
list the angles in order from smallest to largest.
(only write the letter of the angle)
smallest angle =
medium angle =
largest angle =
blank 1:
blank 2:
blank 3:

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Compare the side lengths

We have \(AB = 5\), \(BC=6\), and \(AC = 8\). So, \(AB

Step3: Determine the angles opposite the sides

Angle \(C\) is opposite \(AB\), angle \(A\) is opposite \(BC\), and angle \(B\) is opposite \(AC\).

Answer:

smallest angle = \(C\)
medium angle = \(A\)
largest angle = \(B\)