Question

the perimeter of a rhombus is 68 CM if one of the diagonal measure is 16 cm find the length of the Other diagonal​

Answer 1

Answer:

Step-by-step explanation:

Perimeter of rhombus= 68 cm

Side of the rhombus= 68/4cm= 17 cm

The diagonals of a rhombus bisect each other at right angles and form four identical right angled triangles, with the side of the rhombus always being a hypotenuse. In one such typical right angled ttriangle, one side = 16/2 cm= 8 cm. Hypotenuse = 17 cm.

Therefore the other side of the right triangle forming the right angle= [ 17² - 8²]½ = (289 -64)½ = √225 = 15 cm.

This is half the length of the second diagonal of the rhombus.

Therefore, length of the second diagonal if the rhombus= 15×2= 30cm.