Need Geometry help to find the values of x and y

label Mathematics
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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.

Nov 25th, 2015

Thank you for the opportunity to help you with your question!

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

Please let me know if you need any clarification. I'm always happy to answer your questions. Kindly best this answer if it has helped you.
Nov 25th, 2015

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