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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: Q26. (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 $K T = 16, K S = 15 and S U = \ grave 5$

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.

$K R = 12, R T = 4 and K U = 20$

Now,

$\begin{array}{l} K T = K R + R T \\ = 12 + 4 \\ 鈬� K T = 16 \end{array}$

And,

$\begin{array}{l} \frac{K R}{R T} = \frac{K S}{S U} \\ 鈬� \frac{12}{4} = \frac{K S}{K U 鈭� K S} \\ 鈬� 3 = \frac{K S}{20 鈭� K S} \\ 鈬� 60 鈭� 3 K S = K S \\ 鈬� 4 K S = 60 \\ 鈬� K S = 15 \end{array}$

And,

$\begin{array}{l} S U = K U 鈭� K S \\ = 20 鈭� 15 \\ 鈬� S U = 5 \end{array}$

Therefore, the value of $K T = 16, K S = 15 and S U = \ grave 5$

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