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The sides of a triangle are as follows:

AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C​

1 Answer

3 votes

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

User James King
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