Find the values of x an y when the smaller triangle show here has the given area.

The smaller triangle has an area of 3 cm squared.

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These 2 triangles are similar triangles, so

x / y = 8/12

or, x/y = 2/3 ..........equation 1

Area of small triangle = 3

or, (1/2)(xy) = 3

xy = 6

x = 6/y ----------- equation 2

put value of x from equation 2 to equation 1

6/y^2 = 2/3

or, y^2 = 18/2

y^2 = 9

y = 3

x = 6/y = 6/3 = 2

so, x = 2 and y = 3

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