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# What are we learning ?

Competency in Focus: Biquadratic Equations Main idea: It is usually hard to solve biquadratic equations. However, sometimes, combining tools from geometry and strategies like completing the square it is possible to do so.

# Next understand the problem

Let a,b and c be the sides of a right angled triangle. Let $\displaystyle{\theta }$ be the smallest angle of this triangle. If $\displaystyle{ \frac{1}{a}, \frac{1}{b} }$ and $\displaystyle{ \frac{1}{c} }$ are also the sides of a right angled triangle then show that $\displaystyle{ \sin\theta=\frac{\sqrt{5}-1}{2}}$

##### Source of the problem

I.S.I. B.Stat. Entrance 2005, Subject Problem 1

6/10
##### Suggested Book
Challenges and Thrills in Pre College Mathematics Excursion Of Mathematics

# Connected Program at Cheenta

#### I.S.I. & C.M.I. Entrance Program

Cheenta I.S.I., C.M.I. Entrance Program consists of live group and one on one classes, 24/7 doubt clearing and continuous problem solving streams. The trainers are / were students of Indian Statistical Institute and Chennai Mathematical Institute.

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