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Find The Third Proportional to A2 – B2 And a + B. - Mathematics

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Question

Find the third proportional to a2 – b2 and a + b.

Solution

Let the third proportional to `a^2 - b^2` and a + b be  n

`=> a^2 - b^2, a + b` and n are in continued proportion

`=> a^2 - b^2 :  a + b =  a _ b : n`

`=> n = (a + bh)^2/(a^2 - b^2) = (a + b)^2/((a + b)(a - b)) = (a + b)/(a - b)`

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(D) | Q: 9.2 | Page no. 102
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Find The Third Proportional to A2 – B2 And a + B. Concept: Proportions.
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