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Find The Third Proportional to A2 – B2 And a + B. - ICSE Class 10 - 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 Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7D | Q: 9.2

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Solution Find The Third Proportional to A2 – B2 And a + B. Concept: Proportions.
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