+4622 The figure drawn is not to scale. Which of the five segments shown is the longest?
+9481 ∠A = 180° - 40° - 55° = 85°
Since ∠A is the largest angle in triangle BAD, the side opposide ∠A must be the largest side in triangle BAD. That is...
BD > AB and
BD > AD
∠C = 180° - 75° - 55° = 50°
Since ∠CBD is the largest angle in triangle CBD, the side opposite ∠CBD must be the largest side in triangle CBD. That is...
CD > BC and
CD > BD
So CD must be the longest segment.
+9481 ∠A = 180° - 40° - 55° = 85°
Since ∠A is the largest angle in triangle BAD, the side opposide ∠A must be the largest side in triangle BAD. That is...
BD > AB and
BD > AD
∠C = 180° - 75° - 55° = 50°
Since ∠CBD is the largest angle in triangle CBD, the side opposite ∠CBD must be the largest side in triangle CBD. That is...
CD > BC and
CD > BD
So CD must be the longest segment.
