Art of Problem Solving

Jadhav Isosceles Formula: Difference between revisions

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'''Jadhav's Isosceles Formula''' is a formula derived by [[Jyotiraditya Jadhav]] used to evaluate the area of any isosceles triangle given the lengths of the congruent sides and the measure of the angle formed between them.


== Statement ==
In any isosceles triangle let the 'length of congruent sides be <math>s</math> and the angle formed between these sides be <math>\theta</math>. Then, the area of the triangle can is equal to
<cmath>\sin(\frac{\theta}{2})cos(\frac{\theta}{2}){s^2}</cmath>
== Applications ==
* Can be used to determine the area of an Isosceles triangle
* Can be used to find the angle formed between two equal sides of the triangle given area
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Latest revision as of 01:17, 23 June 2025