Question

$\huge{\color{magenta}{\fbox{\textsf{\textbf{VERIFIED 亗}}}}}$ 1. The perimeter of a rhombus is 20 cm and one of its diagonal is 6 cm long . Find the length of other diagonal .​

Answer 1

Answer:

The perimeter of the rhombus is 20 cm. Hence each side is 20/4 = 5 cm. · One diagonal being 6 cm, half its length = 6/2

Answer 2

Step-by-step explanation:

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

Therefore, side 2 of the right triangle= [ 5² -3²]½= 4 cm.

Therefore length of the second diagonal = 2×4 cm = 8 cm.

Hope its help...