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Chapter 8: Q4. (page 287)

Use the diagram to complete each statement.

鈻�RSU~?~?

Short Answer

Expert verified

The final answer is 鈻�RSU~鈻�RTS~鈻�STU.

Step by step solution

01

Step 1. Given information:

The right triangles are shown below.

02

Step 2. Concept used.

In a right triangle the angle is 90掳.

03

Step 3. applying the concept.

Consider triangles 鈻�RSUand 鈻�RTS,

鈭�R=鈭�R (Common)

鈭�RUS=鈭�RST=90 (Given)

鈭�鈻�RSU~鈻�RTS (AA)

Consider triangles 鈻�STUand 鈻�RTS,

鈭�T=鈭�T鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌�Common鈭�TUS=鈭�TSR=90鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌�Given鈭�螖STU~螖RTS鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨�勨�勨�勨��AA

Hence,

螖STU~螖RSU

Therefore, the complete given statement is 鈻�RSU~鈻�RTS~鈻�STU.

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