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Mathematics 21 Online
OpenStudy (kaisertheslayer):

Help please... Find the value of y. Round the answer to the nearest tenth, if needed. A.8 B.14.7 C.21.3 D.27

OpenStudy (kaisertheslayer):

OpenStudy (kaisertheslayer):

i think it is D...

OpenStudy (mathstudent55):

When a right triangle (the big one in your drawing) has the altitude drawn to its hypotenuse, then the two new small triangles are similar to each other and to the original large triangle. The means the lengths of corresponding sides of all three triangles are in proportion.

OpenStudy (mathstudent55):

Look at the small triangle on the left side. Its legs are 12 and 18 units long. Those legs correspond to the legs of the small triangle on the right side whose lengths are 18 and y, respectively.

OpenStudy (mathstudent55):

You can write a proportion with that info and solve for y.

OpenStudy (kaisertheslayer):

so what would it be? i want to see if im right what is the answer?

OpenStudy (kaisertheslayer):

@Chumpian can u give the answer for this

OpenStudy (kaisertheslayer):

@mathstudent55 can u help?

OpenStudy (mathstudent55):

This is the proportion you need to solve: \(\dfrac{12}{18} = \dfrac{18}{y} \)

OpenStudy (kaisertheslayer):

thank you :D

OpenStudy (mathstudent55):

yw

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