Question

1
drag each tile to the correct box.
triangle abc has these side measurements:
ab = 17
bc = 18
ac = 21
order the angles of the triangle from largest measure to smallest measure.
∠a ∠b ∠c

Explanation:

Step1: Recall the triangle angle - side relationship

In a triangle, the larger the side opposite an angle, the larger the angle. So we need to determine which side is opposite each angle.

• In triangle \(ABC\), side \(BC\) is opposite \(\angle A\), side \(AC\) is opposite \(\angle B\), and side \(AB\) is opposite \(\angle C\).

Step2: Identify the lengths of the sides opposite each angle

• Length of \(BC = 18\) (opposite \(\angle A\))
• Length of \(AC=21\) (opposite \(\angle B\))
• Length of \(AB = 17\) (opposite \(\angle C\))

Step3: Compare the lengths of the sides

We compare the lengths: \(21>18 > 17\). Since \(AC>BC > AB\), the angles opposite them follow the same order. So \(\angle B>\angle A>\angle C\) (because \(\angle B\) is opposite \(AC\), \(\angle A\) is opposite \(BC\), and \(\angle C\) is opposite \(AB\)).

Answer:

\(\angle B\), \(\angle A\), \(\angle C\)