the length of the diagonals of a rohmbus are 30 and 40 cm .then find the side of the rhombus.
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Keshav5318:
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As diagonals of a rhombus are equal and cut each other at right angle.
- Figure provided in the above attachment.
Using Pythagoras theorem:
AD² = AO2² + OD²
➠ AD² = (30/2)² + (40/2)²
➠ AD² = 15² + 20²
➠ AD² = 225 + 400
➠ AD² = 625
➠ AD = √625
➠ AD = 25 cm
- So, side of the rhombus is 25 cm.
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