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If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) …

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If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of ⊡ABCD. Find its area.

Posted by Yash Mishra 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 2 months ago

by joining B to D,you will get two Triangles ABD and BCD the area of triangle A b d

1/2[-5(-5-5)+(-4)(5-7)+4(7+5)]=0

1[50+8+48]0×2

=106/2

=53square.units

also the area of triangle BCD

=1/2[-4(-6-5)-1(5+5)+4(-5+6)]

=1/2[44-10+4]

=19 square.units

area of triangle ABC + area of triangle BCD

so the area of quadrilateral ABCD =53+19=72square.units

0Thank You

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