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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: Q15. (page 244)

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

Short Answer

Expert verified

The simplest form is, $1 : 9$ .

Step by step solution

01

Step 1. Given information.

It is given,

Height of a triangle is, $5 k m$ and,

Base of that triangle is $45 k m$ ,.

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,

$\frac{5}{45}$

04

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

So, in simplest form,

$\begin{matrix} \frac{5}{45} = \frac{5 / 5}{45 / 5} \\ = \frac{1}{9} \end{matrix}$

Therefore, the simplest form is $1 : 9$ ,.

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Most popular questions from this chapter

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

$z : x : y$

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

Complete the statement.

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

Find the measure of each angle.

The measures of the acute angles of a right triangle are in the ratio $5 : 7$ .

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

$A B : B C$

See all solutions

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