Need Geometry help to find the values of x and y

Mathematics
Tutor: None Selected Time limit: 1 Day

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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 25th, 2015
...
Nov 25th, 2015
Mar 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer