Answer: The correct option is C.
Explanation:
It is given that GHIJ is a quadrilateral and HJ, GI are the diagonals of the quadrilateral.
Let GHIJ is a parallelogram.
The opposite sides of the parallelogram are parallel and have same length. The diagonals divides the parallelogram in two equal or congruent parts. Diagonal bisects the angle.
Since JH is a diagonal so triangle JGH and JIH are congruent because,
(common side)
(JH bisects the angle J)
(JH bisects the angle H)
So by ASA rule of congruence triangle JGH and JIH are congruent.
Since GI is a diagonal so triangle GHI and GJI are congruent because,
(common side)
(GI bisects the angle G)
(GI bisects the angle I)
So by ASA rule of congruence triangle GHI and GJI are congruent.
If these triangle are congruent to each other then the we can say that the quadrilateral is a parallelogram.
So, the correct option is C.
If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.
Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.
Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:
l=
now put the value of l=11.3 and r=15.5/2=7.25
11.3=
11.3/2=
5.65=
squaring both sides
31.9225=52.5625-
31.9225-52.5625=-
-20.64=-
20.64=
x=4.54
Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.
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