Adjacent sides of parallelogram are 11cm and 17cm It length of one diagonal is 26 find the length of other diagonal
Answers
Answered by
1
Answer:
h=11cm
b=17cm
1 diagonal=26cm
26=11+17
26=28
=28/26
=14/13
Answered by
12
Answer:
Question:-
- Adjacent sides of parallelogram are 11cm and 17cm. If the length of one of its diagonal is 26cm, find the length of the other.
To find,
- Length of the other diagonal
Solution:-
➪ BD = 26
➪ OB = 13cm = OD
Apollonius theorem,
➪ AB² + BC ² = 2AO² + 2OD²
➪ 11² + 17² = 2AO² + 2(13)²
➪ 121 + 289 = 2AO² + 2(169)
➪ 2AO² + 338 = 410
➪ 2AO² = 72
➪ AO2 = 36
➪ AO = 6
➪ AC = AO + OC
= 6 + 6
= 12cm
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