Chapter 8: Q4. (page 287)

Use the diagram to complete each statement.
$▵ R S U ~ ? ~ ?$

Short Answer

Expert verified

The final answer is $▵ R S U ~ ▵ R T S ~ ▵ S T U .$

Step by step solution

Step 1. Given information:

The right triangles are shown below.

Step 2. Concept used.

In a right triangle the angle is $90 °$ .

Step 3. applying the concept.

Consider triangles $▵ R S U$ and $▵ R T S,$

$∠ R = ∠ R$ (Common)

$∠ R U S = ∠ R S T = 90$ (Given)

$∴ ▵ R S U ~ ▵ R T S$ (AA)

Consider triangles $▵ S T U$ and $▵ R T S$ ,

$\begin{array}{l} ∠ T = ∠ T (Common) \\ ∠ T U S = ∠ T S R = 90 (Given) \\ ∴ Δ S T U ~ Δ R T S (A A) \end{array}$

Hence,

$Δ S T U ~ Δ R S U$

Therefore, the complete given statement is $▵ R S U ~ ▵ R T S ~ ▵ S T U .$

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Use the diagram to complete each statement.
$▵ R S U ~ ? ~ ?$

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

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Use the diagram to complete each statement.▵RSU~?~?

Short Answer

Step by step solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use the diagram to complete each statement.
$▵ R S U ~ ? ~ ?$