Chapter 7: Q15. (page 246)

What can you conclude from the given information.
Apply the means-extremes property to $\frac{a}{b} = \frac{c}{d}$ and also to $\frac{a}{c} = \frac{b}{d}$

Short Answer

Expert verified

Both proportion gives the same equation.

Step by step solution

Step 1. Given information.

The given proportions are,

$\frac{a}{b} = \frac{c}{d} a n d \frac{a}{c} = \frac{b}{d}$ .

It is given, $\frac{a}{b} = \frac{c}{d} a n d \frac{a}{c} = \frac{b}{d}$

For the proportion $a : b : : c : d$

i.e, $\frac{a}{b} = \frac{c}{d}$

$a a n d d$ are called extreme and $b a n d c$ are called means.

Step 2. Now, from the means-extreme property.

Product of means and product of extremes are equal.

Step 3. for the proportionab=cd .

Means-extremes property gives, $a d = b c$

Similarly,

Step 4. For the proportionac=bd .

Means-extremes property gives $a d = b c$ ,

Therefore, both proportion gives the same equation.

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What can you conclude from the given information.
Apply the means-extremes property to $\frac{a}{b} = \frac{c}{d}$ and also to $\frac{a}{c} = \frac{b}{d}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Now, from the means-extreme property.

Step 3. for the proportionab=cd .

Step 4. For the proportionac=bd .

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What can you conclude from the given information.Apply the means-extremes property to ab=cdand also toac=bd

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Now, from the means-extreme property.

Step 3. for the proportionab=cd .

Step 4. For the proportionac=bd .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Applied Mathematics

Calculus

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

What can you conclude from the given information.
Apply the means-extremes property to $\frac{a}{b} = \frac{c}{d}$ and also to $\frac{a}{c} = \frac{b}{d}$