Math, asked by ramshubhash5200, 7 months ago

10. The perimeter of a rhombus is 100 cm and one of its diagonals is 48 cm. Find the length of the other
diagonal​

Answers

Answered by lavishyadav7270
3

Answer:

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Answered by pranavisaisrianu
2

Step-by-step explanation:

perimeter of rhombus P=2

2 \sqrt{ {p}^{2}  +  {q}^{2} }

p and q are diagonals

given perimeter=100

2 \sqrt{ {48}^{2}  +  {q}^{2} }   = 100 \\  \sqrt{2304 +  {q}^{2} }  = 50 \\ squaring \: on \: the \: both \: sides \\ 2304 +  {q}^{2}  = 2500 \\  {q}^{2}  = 2500 - 2304 \\  {q2} = 196 \\ therefore \: q = 14

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