The sides of a quadrilateral taken in order are 5 m, 12 m, 14 m and 15 m respectively. The angle
contained in the first two sides is a right angle. Find the area of the quadrilateral
Answers
Answered by
1
Step-by-step explanation:
Let consider a quadrilateral ABCD
In ∆ABC;
AC =
= 13 m
AB = a = 5 m, BC = b = 12 m, AC = c = 13 m
Let a, b and c are the sides of triangle and s is
the semi-perimeter, then its area is given by:
A =
where
[Heron’s Formula]
=
= 15
A1 =
A1 =
=
m2
In ∆ADC;
DA = a = 15 m, CD = b = 14 m, AC = c = 13 m
Let a, b and c are the sides of triangle and s is
the semi-perimeter, then its area is given by:
A =
where
=
= 21
A2 =
A2 =
=
m2
Therefore area of quadrilateral ABCD = A1 + A2 = 30+84 = 114 m2
Answered by
0
Answer:
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Step-by-step explanation:
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