Maths-

General

Easy

Question

# List the angles of from smallest to largest.

Hint:

- In triangle, the angle opposite to largest side is largest.
- In triangle, the side opposite to largest angle is largest.

## The correct answer is: In △ABC, Sides shortest to longest are ∠ABC, ∠BAC, ∠ACB

### Step by step explanation:

Given: In △ABC

AB = 12

AC = 7

BC = 10

Step 1:

Find all angles of triangle.

In △ABC,

AB > BC > AC

side opposite to AB is ∠ACB.

side opposite to BC is ∠BAC.

side opposite to AC is ∠ABC.

As,

AB > BC > AC

(We know that, in triangle, the angle opposite to largest side is largest angle.)

∴ ∠ACB > ∠BAC > ∠ABC

Hence, in △ABC, sides smallest to largest are

∠ABC, ∠BAC, ∠ACB

Final Answer:

In △ABC, Sides shortest to longest are ∠ABC, ∠BAC, ∠ACB.

Step 1:

Find all angles of triangle.

In △ABC,

side opposite to AB is ∠ACB.

side opposite to BC is ∠BAC.

side opposite to AC is ∠ABC.

As,

(We know that, in triangle, the angle opposite to largest side is largest angle.)

Hence, in △ABC, sides smallest to largest are

Final Answer:

In △ABC, Sides shortest to longest are ∠ABC, ∠BAC, ∠ACB.

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