Question

The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm).

A) 7.5 B) 30 C) 22.5 D) 15

Answer 1

Perimeter of a rhombus = 100 cm.

Each side of the rhombus = 100/4 = 25 cm.

One diagonal = 40 cm.

Half the length of one diagonal = 40/2 = 20 cm.

Half of the other diagonal = (25^2 -20^2)^0.5 = 15 cm

Full length of the other diagonal - 2*15 = 30 cm. Answer.

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