The figure drawn is not to scale. Which of the five segments shown is the longest?

tertre
Mar 28, 2018

#1**+3 **

∠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.

hectictar
Mar 28, 2018

#1**+3 **

Best Answer

∠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.

hectictar
Mar 28, 2018