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Q18.

Expert-verified

Geometry

Found in: Page 244

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Refer to a triangle. Express the ratio of the height to the base in simplest form.

The simplest form is $20 : 17$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

It is given,

Height of a triangle is $1 m$ .

And,

Base of that triangle is $85 c m$ .

Step 2. Concept used.

Transformation of meter to centimetre,

1m $= 100 c m$

Step 3. Given ratio.

The ratio of the height to the base is,

$\frac{100}{85}$

To write the algebraic fraction in simplest form,

Divide the numerator and denominator with the common term.

Step 4. Divide the numerator and denominator by the common factor5.

So, in simplest form,

$\frac{100}{85} = \frac{20}{17}$

Therefore, the simplest form is $20 : 17$ .

Most popular questions for Math Textbooks

ABCD is a parallelogram. Find the value of each ratio.

$A B : B C$

$x = 12, y = 10, a n d z = 24$ .Write each ratio in simplest form.

$\frac{x}{x + z}$

Complete the statement.

If $\frac{e}{f} = \frac{5}{9},$ then $\frac{e}{5} = \frac{?}{?}$

complete each statement.

If $\frac{x}{3} = \frac{2}{5},$ then $5 x = ?$

$(a)$ Apply the means-extremes property of proportions to the proportion.

$\frac{e}{f} = \frac{g}{5}$ and you get $5 e = ?$

$(b)$ Apply the property to the proportion $\frac{5}{f} = \frac{g}{e}$ and you get $? = ?$

$(c)$ Are the proportions $\frac{e}{f} = \frac{g}{5}$ and $\frac{5}{f} = \frac{g}{e}$ equivalent Why

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