Math, asked by ritarani0107, 5 months ago

plzzzzzzzzzzzz answer this question ​

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Answers

Answered by rajunaga110
1

Step-by-step explanation:

use the herons formula which is √(s(s-a) (s-b) (s-c))

to find a triangle area

so here if you add two triangles ABD and DBC

you will get the answer

here s= semi perimeter of the triangle

and a, b, c are the sides of the triangles

I hope it could help you

Answered by summah4665
0

Step-by-step explanation:

Area of quadrilateral ABCD = Area of Triangle ABD + Area of Triangle BCD

Now,

half perimeter of ABD, s1= (14+48+50)/2 cm = 56 cm

area of Triangle ABD

=

 \sqrt{s1(s1 - 14)(s1 - 48)(s1 - 50)}

=

 \sqrt{56 \times 42 \times 8 \times 6}

= 6 X 7 X 8 sqcm

= 336 sqcm

similarly,

half perimeter of BCD, s2= (50+78+112)/2 cm = 120 cm

area of Triangle BCD

=

 \sqrt{s2(s2 - 50)(s2 - 78)(s2 - 112)}

=

 \sqrt{120 \times 70 \times 42\times 8}

= 10 X 6 X 7 x 4 sqcm

= 1680 sqcm

so, area of quadrilateral ABCD

= 336 + 1680 sqcm

= 2016 sqcm

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