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Geometry

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

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 7: Q16. (page 243)

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

Short Answer

Expert verified

The simplest form is $5 : 3$ ,.

Step by step solution

01

Step 1. Given information.

It is given,

Height of a triangle is,. $1 m$ and,

Base of that triangle is, $0.6 m$ .

02

Step 2. Concept used.

To write the algebraic fraction in simplest form,

Divide the numerator and denominator with the common term.

03

Step 3. Given ratio.

The ratio of the height to the base is,

$\frac{1}{0.6} = \frac{10}{6}$

04

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

So, in simplest form,

$\begin{matrix} \frac{10}{6} = \frac{10 / 2}{6 / 2} \\ = \frac{5}{3} \end{matrix}$

Therefore, the simplest form is $5 : 3$ .

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Most popular questions from this chapter

$(a)$ 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

Given the proportions $\frac{x + y}{y} = \frac{r}{s}$ and $\frac{x - y}{x + y} = \frac{s}{y}$ , what can you conclude?

Find the measure of each angle.

The measure of the angles of a hexagon are in the ratio $4 : 5 : 5 : 8 : 9 : 9$ .

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

Find the value of x.

$\frac{7}{6 x - 4} = \frac{9}{4 x + 6}$

See all solutions

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