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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