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Chapter 8: Q3. (page 287)

Use the diagram to complete each statement.

If 鈻�RST~鈻�?~鈻�?

Short Answer

Expert verified

The final answer is 鈻�RST~鈻�TSU~鈻�RSU.

Step by step solution

01

Step 1. Given information:

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

02

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.

03

Step 3. applying the concept.

In the given triangle 鈻�RST, with right angle 鈭�RST, the perpendicular is drawn from S to hypotenuse RT. This gives the relation between the triangles as, 鈻�RST

鈻�RST~鈻�TSU鈻�RST~鈻�RSU鈻�TSU~鈻�RSU

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

鈻�RST~鈻�TSU~鈻�RSU.

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Most popular questions from this chapter

Complete the simplification.

3112=?路?=9路?=?

State an equation you could use to find the value of x. Then find the value of x in simplest radical form.

Use the diagram to complete each statement..

Ifm鈭�R=30,thenm鈭�RSU=?,m鈭�TSU=?,andm鈭�T=?

Simplify.

940

Simplify.

54
See all solutions

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