Quadrilateral ABCD is a square. F, L, O, and R are midpoints of sides AD, AB, BC and CD, respectively. If AC is 12 cm long, what is the perimeter of quadrilateral FLOR?
Answers
Answered by
1
Answer:
xenon full from for well enough awful summits weevil
Answered by
0
Step-by-step explanation:
The angles of quadrilateral are in the ratio 3 : 5 : 9 : quadrilateral.
Sol: Let the angles of the quadrilateral be 3x, 5x, 9x and 13x.
∵ Sum of all the angles of quadrilateral = 360°
∴ 3x + 5x + 9x + 13x = 360°
⇒ 30x = 360°
∴ 3x = 3 × 12° = 36°
5x = 5 × 12°= 60°
9x = 9 × 12° = 108°
13x = 13 × 12° = 156°
⇒ The required angles of the quadrilateral are 36°, 60°, 108° and 156°.
Similar questions