# Math help

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Find the width of a recctangle that has a length of 48 cm a diagonal of 50 cm.

• Math help -

use Pythagoras

w^2 + 48^2 = 50^2
solve for w

• Math help -

d = diagonal

L = Length

W = Width

d ^ 2 = L ^ 2 + W ^ 2

50 ^ 2 = 48 ^ 2 + W ^ 2

2500 = 2304 + W ^ 2 Subtract 2304 to both sides

2500 - 2304 = 2304 + W ^ 2 - 2304

196 = W ^ 2

W = sqrt ( 196 )

W = + OR - 14

Width can't be negative so

W = 14 cm

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