the area of a quadrilateral is 342 sq.m. the perpendicular from two vertices to the diagonal are 12m and 12m.what is the length of diagonal.
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the area of a quadrilateral is 342 sq.m. the perpendicular from two vertices to the diagonal are 12m and 12m.what is the length of diagonal.
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Verified answer
Given:-
Area of quadrilateral and perpendicular from two vertices to diagonal.
To find:-
Length of the diagonal.
Solution:-
⟼ Area of quadrilateral:- 342m²
⟼ 1st off set:- 12m
⟼ 2nd off set:- 12m
Let diagonal be x
⟼ Area= 1÷2×diagonal×sum of off sets
342= 1÷2 × x × (12+12)
1÷2× x × 24
⟼ 342
x= 342÷12
⟼ x=28.5m
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♧Question♧
♧Answer♧
Given data:-
To find:-
Solution:-
☆Let us suppose that the diagonal is d and the perpendicular from the two vertices are h1 and h2.
By using this formula,[ 1/2(d(h1 + h2)) = Area ]
Therefore Length of the diagonal is 28.5m.
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