What is Powada ?
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Solution and Explanation
Correct Answer: Powada is a traditional form of Marathi ballad or narrative poetry.
Step 1: Understanding Powada
Powada is a traditional Marathi poetic form that combines storytelling and music to narrate heroic deeds or historical events. It is a vibrant and rhythmic art form that engages audiences through dramatic recitation and melody.
Step 2: Historical Significance
Powadas flourished during the Maratha period, glorifying warriors such as Chhatrapati Shivaji Maharaj and Tanaji Malusare. These ballads celebrated valor, resistance, and patriotism.
Step 3: Cultural Role
Powadas were performed during social and royal events, inspiring unity and pride among people. They also served as tools of communication and social awareness.
\[ \text{Powada is a traditional Marathi ballad narrating heroic and historical events.} \]
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Complete the following activity to prove that the sum of squares of diagonals of a rhombus is equal to the sum of the squares of the sides.
Given: PQRS is a rhombus. Diagonals PR and SQ intersect each other at point T.
To prove: PS\(^2\) + SR\(^2\) + QR\(^2\) + PQ\(^2\) = PR\(^2\) + QS\(^2\)
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\(\therefore\) by Apollonius theorem,
\[\begin{aligned} PQ^2 + PS^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(I)} \\ QR^2 + SR^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(II)} \\ \text{Adding (I) and (II),} \quad PQ^2 + PS^2 + QR^2 + SR^2 &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \\ &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \quad (\text{RT = PT}) \\ &= 4PT^2 + 4QT^2 \\ &= (\boxed{\phantom{X}})^2 + (2QT)^2 \\ \therefore \quad PQ^2 + PS^2 + QR^2 + SR^2 &= PR^2 + \boxed{\phantom{X}} \\ \end{aligned}\]
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