In the given figure, if AD is the bisector of ∠CAE and AB =12 cm, AC = 8 cm, BC = 16 cm, then, CD = ?
AED = ∠B, then find the value of x
Correct Answer is: 32 cm
There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line, and points E and F are marked on the third line. Each of these 6 points can move to any position on its respective straight line.
Consider the following statements:
1. The maximum number of triangles that can be drawn by joining these points is 18.
2. The minimum number of triangles that can be drawn by joining these points is zero.
Which of the statements given above is/are correct?
Both 1 and 2
Neither 1 nor 2
Correct Answer is: 2 only
All 6 points are non-collinear. Hence maximum number of triangles formed = 6C3 = 20 => Statement 1 is wrong
If A & B coincide at line 1, C & D coincide on line 2, E & F coincide on line 3. And all three coincide points lie on a straight line then number of triangles formed will be zero. Hence statement 2 is correct.
The angles of a pentagon are in the ratio 2: 3 : 4 : 5 : 6. What is the measure of the greatest exterior angle of the pentagon?