find the area of the quadrilateral …

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find the area of the quadrilateral abcd in which ab =50m bc=60m cd=30m da=90m and bd =70m

Posted by Cbz Hero 3 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Cbz Hero 3 years, 10 months ago

Thanks

1Thank You

Gaurav Seth 3 years, 10 months ago

Step-by-step explanation:

in triangle BCD,

semiperimeter (s) = BC + CD + BD/2

s = 60 + 30 + 70 /2

s = 160/2

s = 80

a = root[80 x (80-60) (80-30) (80 - 70)]

a = root[80 x 20 x 50 x 10]

a = root[ 10 x 4 x 2 x 2 x 10 x 5 x 10 x 10]

a = 10 x 4 x 10 root(5)

a = 400xroot(5)

a = 894.4 (approx)

In triangle ABD,

semiperimeter (s) = AB + BD + DA/2

s = 50 + 70 + 90/2

s = 210/2

s = 105

a = root[105 x (105- 50) (105-90) (105 - 70)]

a = root[105 x 55 x 15 x 35]

a = root[ 5 x 7 x 3 x 5 x 11 x 5 x 3 x 7 x 5]

a = 25 x 7 x 3 root(11)

a = 525 * root(11)

a = 1741.2 (approx)

Total area = 894.4 + 1741.2

= 2635.6 cm2(approx

3Thank You

ANSWER

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Posted by T Prudhvi 15 hours ago

CBSE > Class 09 > Mathematics