In a parallelogram the length of two sides
and one diagonal are 7 cm, root23 cm and
6 cm respectively. Find the length of the
other diagonal.
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Answer:
Given, two sides of parallelogram are 6 and 8 and one diagonal 7.
cosθ=
2×6×8
6
2
+8
2
−7
2
=
96
36+64−49
=
96
51
Now let the other diagonal length be a
We have a
2
=6
2
+8
2
−96cos(180−θ)=100+51=151
⇒a=
151
Step-by-step explanation:
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