find X and give a good explanation plzz
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Required value of x is 3 cm.
Step-by-step explanation:
With the use of Pythagoras theorem :
Length of hypotenuse in triangle having sides of length 1 cm & 1 cm.
= > hypotenuse^2 = ( 1 cm )^2 + ( 1 cm )^2
= > hypotenuse^2 = 1 cm^2 + 1 cm^2 = 2 cm^2'
= > hypotenuse = √2 cm.
Length of hypotenuse in triangle having a side of length √2 cm :
= > hypotenuse^2 = ( √2 cm )^2 + ( √2 cm )^2"
= > hypotenuse^2 = 2 + 2 cm^2 = 4 cm^2
= > hypothenuse = 2 cm
Length of hypotenuse( x ) in triangle having a side of length √5 cm :
= > x^2 = ( √5 cm )^2 + ( 2 cm )^2
= > x^2 = 5 cm^2 + 4 cm^2 = 9 cm^2
= > x = 3 cm
Hence the required value of x is 3 cm.
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