Question

the length of diagonals of rhombus are 30 and 40 cm find sides of rhombus

Answer 1

diagonals intersect each other perpendicularly
so 4 right angle triangles are formed
in which the side of rhombus is hypotenuse

${15}^{2} + {20}^{2} = {l}^{2}$
so l=25cm

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

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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