Calculating Lengths of Similar Triangles

What are the practical applications of the AA similarity theorem?

• Calculating the area of a circle

• Solving equations in algebra

• The practical applications of the AA similarity theorem include solving problems in geometry, such as determining the similarity of two triangles and finding unknown side lengths or angles.

• Determining the boiling point of a substance

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CCSS.HSG.SRT.A.2

Can you provide an example of how the AA similarity theorem is used to solve a problem?

• Using the Pythagorean theorem to find the measures of the corresponding sides

• Applying the Law of Sines to determine the unknown angles

• Using the AA similarity theorem to find the area of the triangles

• Identifying congruent angles in two triangles and using the proportionality of corresponding sides to solve for unknown measures.

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CCSS.HSG.SRT.B.5

Are triangle ABC and triangle DEF similar?

• No

• Yes

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CCSS.HSG.SRT.B.5

• 1:3

• 3

• 2:3

• 3:2

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CCSS.7.G.A.1

Two similar triangles, ∆ABC & ∆JKL are shown. What is the length of side JL?

Mathematical Equivalence

ON

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CCSS.HSG.SRT.A.2

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

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CCSS.HSG.SRT.A.2

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

• 11 in.

• 13.5 in.

• 9 in.

• 20.25 in.

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CCSS.HSG.SRT.A.2

• 7

• 12

• 6

• 4

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CCSS.HSG.SRT.A.2

Find the value of X.

• 4

• 6

• 12

• 7

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CCSS.HSG.SRT.A.2

Use the information in the diagram to determine the height of the tree.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

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CCSS.HSG.SRT.B.5