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# similar triangles

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Triangle HIJ is similar to triangle DFG.  Find the value of x, y, and z.

Mar 3, 2021

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The angle will still be the same, no matter what size, so z is still 34 degrees.

Notice that 9 and 5 are the only measurements that stay.

To find the proportion (idk if thats the right word) between the two triangles, we make a fraction, $$\frac{5}{9}$$. We do this so that we can figure out the lengths of each side by multiplying and/or dividing.

To find y, we multiply 18 by $$\frac{5}{9}$$, getting 10, so y is 10.

To find x, we have to DIVIDE 8 by $$\frac{5}{9}$$, since unlike y, x is on the left triangle.

8 divided by $$\frac{5}{9}$$is 14.4, so x is 14.4.

x = 14.4

y = 10

z = 34 degrees

Correct me if I'm wrong!

Mar 3, 2021
edited by swag123456  Mar 3, 2021