IXL | Similarity in right triangles

and

what is

MN?

Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

MN =

ref_doc_title.

Learn with an example

question

and

what is

WY?

Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

WY =

key idea

The AA Similarity Theorem states that two triangles are similar if two angles of one triangle are congruent to two angles of the other triangle.

△

∠

≅

∠

and

∠

≅

∠

solution

You can use similar triangles to write a proportion. Then, plug in the lengths you are given and solve for

WY.

First, notice that △WZX and △WXY both have right angles. They also have ∠W in common. So, △WZX and △WXY are similar by the AA Similarity Theorem.

Since △WZX and △WXY are similar, the ratios of corresponding sides are equal.

Plug in

and

and solve for

WY.

100

WY = 14.2857...

To the nearest hundredth,

14.29

Looking for more? Try this:

Lesson: Similar triangles

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Work it out

Not feeling ready yet? These can help:

S.6Angle-angle criterion for similar triangles

S.7Side lengths and angle measures of similar triangles

Lesson: Similar triangles

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