A certain triangle has a 30 degree angle and a 60 degree angle. Which of the following must be a true statement about the triangle A. The second-longest side is twice as long as the shotest side. B. The longest side is twice as long as the shortest side. C. Two sides of the triangle have the same length D. The longest side is square root 3 times as long as the shorted side
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Here, option (A) is correct.
Given:
Angle A = 30°
Angle B = 60°
Angle C = ?
We know, all interior angles of triangle is equal to 180°.
So, 30° + 60° + Angle C = 180°
90° + Angle C = 180°
Angle C = 180° - 90°
Angle C = 90°.
So, 2nd longest side is 60° and shortest side is 30°. Hence, we can say that the second-longest side is twice as long as the shotest side.