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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: Q18. (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 $20 : 17$ .

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 $85 c m$ .

02

Step 2. Concept used.

Transformation of meter to centimetre,

1m $= 100 c m$

03

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.

04

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 $20 : 17$ .

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Most popular questions from this chapter

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.

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

What is the second term of the proportion $\frac{a}{b} = \frac{x}{y}$ ?

Express the ratio in simplest form.

$D I : I S$

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

$m ∠ B : m ∠ C$

See all solutions

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