Math, asked by amrindersingh5680, 1 month ago

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Answered by shivanshrikhari
1

Since, the diagonals of a parralelogram bisect each other at 90°.

therefore,

5b-12=3b+12 (Equation 1)

2a+8=8a-16 (Equation 2)

From equation 1,

5b - 12 = 3b + 2 \\ 2b = 14 \\(b = 7)

From equation 2,

2a + 8 = 8a - 16 \\ 6a = 24 \\(a = 4)

therefore,

1 st diagonal =5b-12+3b+2

since, (b=7)

therefore 1st diagonal = 35-12+21+2=46

2nd diagonal=2a+8+8a-16

since, (a=4)

therefore 2nd diagonal = 8+8+32-16=32.

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