Select the correct answerIf a:(b+c) = b:(c+a) = c:(a+b) = k, then K is?Options1 : 21 : 32 : 33 : 2

Question

Select the correct answerIf a:(b+c) = b:(c+a) = c:(a+b) = k, then K is?Options1 : 21 : 32 : 33 : 2
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Solution 1

The given ratios can be written as:

a/(b+c) = b/(c+a) = c/(a+b) = k

Let's take the first two ratios:

a/(b+c) = b/(c+a)

Cross multiplying, we get:

a*(c+a) = b*(b+c)

Simplifying, we get:

ac + a^2 = b^2 + bc

Rearranging, we get:

a^2 - b^2 = bc - ac

This can be factored to:

(a+b)(a-b) = c(a-b Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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