Chapter 8: Q3. (page 287)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information:

A triangle with a right angle and a perpendicular directed to the hypotenuse. The measure of sides is marked.

Step 2. Concept used.

For a right triangle with a perpendicular being drawn to the hypotenuse, as shown in the figure the both small triangles are congruent to each other and to the bigger triangle.

Step 3. applying the concept.

In the given triangle $▵ R S T$ , with right angle $∠ R S T$ , the perpendicular is drawn from $S$ to hypotenuse $R T$ . This gives the relation between the triangles as, $▵ R S T$

$\begin{array}{l} △ R S T ~ △ T S U \\ △ R S T ~ △ R S U \\ △ T S U ~ △ R S U \end{array}$

From this, the relation relevant to the present case can be written as,

$▵ R S T ~ ▵ T S U ~ ▵ R S U$ .

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

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.If ▵RST~▵?~▵?

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

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

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