the area of quadilateral is 180cm. the length of perpendicular drawn from the opposite vertices on the diagonal are 6cm and 14cm respectively. find the length of the diagonal.
Answers
Answered by
10
Area of a quadrilateral ABCD = 1/2 x AC x (Sum of the lengths of the perpendicluars on AC)
Area of the quadrilateral = 165 cm2
Length of one of the perpendicular = 12 cm
Length of AC = 15 cm
Let the length of the other perpendicular be 'x' cm
165 = 15/2 (12 + x)
330 = 15 (12 + x)
22 = 12 + x
22 - 12 = x
x = 10
Hence, the length of the perpendicular from D on AC = 10 cm.
Area of the quadrilateral = 165 cm2
Length of one of the perpendicular = 12 cm
Length of AC = 15 cm
Let the length of the other perpendicular be 'x' cm
165 = 15/2 (12 + x)
330 = 15 (12 + x)
22 = 12 + x
22 - 12 = x
x = 10
Hence, the length of the perpendicular from D on AC = 10 cm.
sachinkumar50:
answer is 18cm.
sorry
Similar questions