Answer:
The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A ⇒ B
Explanation:
There is a fact about a triangle
- The longest side is opposite to the greatest angle
- The shortest side is opposite to the smallest angle
Let us use this fact to solve our question
In Δ ABC
∵ AB = 10 inches
∵ BC = 14 inches
∵ AC = 8 inches
→ Find the longest and shortest sides
∴ BC is the longest side
∴ AC is the shortest side
∵ BC is opposite to ∠A
∴ ∠A is the biggest angle in measure
∵ AC is opposite to ∠B
∴ ∠B is the smallest angle in measure
∴ The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A