# In the diagram,MNO is a right angled triangle,Mn=13 cm and MN is 5 cm. Find the value of x

2 answers

###### Question:

in the diagram,MNO is a right angled triangle,Mn=13 cm and MN is 5 cm. Find the value of x

## Answers

Answer:12Step-by-step explanation:

Answer:x = 12Step-by-step explanation:Pythagoras' Theorem[tex]a^{2} = b^{2} + c^{2}[/tex]a = 13b = 5c = x[tex]13^{2} = 5^{2} + x^{2}\\169 = 25 + x^{2}\\169 - 25 = x^{2}\\144 = x^{2}\\12 = x[/tex]

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