pls give the Ans wer step by step
Answers
Step-by-step explanation:
Given:
- Area of the quadrilateral
- Length of diagonal
- Length of perpendicular drawn on it
To Find:
- Length of the other diagonal drawn on it.
Solution:
Formula Used-
1/2(Diagonal)×Sum of perpendicular drawn on it
Let the Length of the other diagonal drawn on it be xm
ACQ
1/2(Diagonal)×Sum of perpendicular drawn on it=200
1/2×20(12+x)=200
10(12+x)=200
120+10x=200
10x=200-120
10x=80
x=8cm ANS
Question -
The area of a quadrilateral is 200 cm². The length of the diagonal is 20 cm. The length of one perpendicular to it's diagonal is 12 cm . Find the length of the other perpendicular to the diagonal .
Solution -
Let us assume that the length of the other perpendicular to the diagonal is x cm .
Area of the quadrilateral becomes :
> ½ × Diagonal × [ Perpendicular 1 + Perpendicular 2] = 200
> ½ × 20( 12 + x) = 200
> 12+x = 20
> x = 8 cm .
Answer -
The length of the perpendicular to the other diagonal is 8 cm .
_______________________________________