What is the length of the missing side

m = 9 and n = 15

Find the length( l ) of the leg in the large right triangle using Pythagoras' identity

l = √(25² - 20²) = √225 = 15

the outer and inner right triangles are similar hence the ratios of corresponding sides are equal

= =

using = (cross-multiply )

20n = 300 ( divide both sides by 20 )

n = 15

using = ( cross-multiply )

20m = 180 ( divide both sides by 20 )

m = 9

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