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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 7: Q25. (page 247)

For the figure shown, it is given that $\frac{K R}{R T} = \frac{K S}{S U}$ . Copy and complete the table.

Short Answer

Expert verified

The value of $K R = 8, R T = 4 and K U = \ grave 15$ .

Step by step solution

01

Step 1. Draw the given figure.

02

Step 2. Write down the given condition.

$\frac{K R}{R T} = \frac{K S}{S U}$

03

Step 3. Make the given table.

04

Step 4. From the table, write down the given values.

$K T = 12, K S = 10 and S U = 5$

Now,

$\begin{array}{l} \frac{K R}{R T} = \frac{K S}{S U} \\ 鈬� \frac{K R}{K T 鈭� K R} = \frac{10}{5} \\ 鈬� \frac{K R}{12 鈭� K R} = \frac{10}{5} \\ 鈬� 5 K R = 120 鈭� 10 K R \\ 鈬� 15 K R = 120 \\ 鈬� K R = 8 \end{array}$

And,

$\begin{array}{l} R T = K T 鈭� K R \\ = 12 鈭� 8 \\ 鈬� R T = 4 \end{array}$

And,

$\begin{array}{l} K U = K S + S U \\ = 10 + 5 \\ 鈬� K U = 15 \end{array}$

Therefore, the value of $K R = 8, R T = 4 and K U = \ grave 15$ .

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