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Find the value of x in the following image.

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Given: A right angle triangle with hypotenuse equal to 10 cm and base equal to 6 cm.

To find: Here we have to find the value of perpendicular. 

Solution:

We know that in right angle triangles we can use Pythagoras theorem:

(Base)2 $+$ (Perpendicular)2 = (Hypotenuse)2 

62 $+$ x2 = 102  

36 $+$ x2 = 100

x2 = 100 $-$ 36

x2 = 64

x = 8

Therefore, the value of x is 8 cm.

Updated on: 10-Oct-2022

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