Question

The perimeter of a rhombus is 20cm and length of one diagonal is 8cm . The length of other diagonal is (a) 6cm (b) 3cm (c) 8cm (d) 4cm
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Answer 1

Answer:

c) 8 cm

Explanation:

In a rhombus diagonals are equal

Answer 2

Perimeter = 20 cm.

Since all sides of the rhombus are equal, so each side of the rhombus= 20 cm/4 = 5 cm.

The diagonals of a rhombus bisect each other at right angle. Therefore, the diagonals divide the rhombus in 4 equal right triangles, whose hypotenuse are the sides of the rhombus, and other two sides are the half lengths of the two diagonals.

In one such right triangle, hypotenuse = 5 cm, side 1 = 6 cm/2 = 3 cm