Arectangle has a diagonal 15 cm and one side 8 cm finde the perimeter p of the rectangle

Consider the right angles triangle with hypotenuse 15 and leg 8 cm formed by drawing the diagonal.

The other leg (x)  will be the other side of the rectangle and , by Pythagoras we have:-

15^2 =  8^2 + x^2

x^2 = 225 - 64

x^2 = 161

x =  12.69 cms

So the perimeter p = 2*8 + 2* 12.69

=  16 + 25.38

= 41.38 cms   (answer)

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step-by-step explanation:

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