Respuesta :

check the picture below.

recall that in a rhombus the diagonals bisect each other at a right-angle, and that all sides are equal.

thus the longer diagonal is 2a long, and the shorter diagonal is 2b long.
Ver imagen jdoe0001

The required length of the diagonal of the rhombus is 10 and  10√3.

Given that,

A rhombus has sides 10 cm long and an angle of 60°. To find the diagonals of the rhombus.


What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.


Since the diagonal of the rhombus bisect the angle into two equal halves.
Let the length of the smaller diagonal is x

sin30 = (x/2)/10
1/2 = x/20
x = 10
So the one diagonal is  10 cm

Length of larger diagonal be y
Sin 60 = (y/2)/10
√3/2 = y / 20
y = 10√3


Thus the required length of the diagonal of the rhombus is 10 and  10√3.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ5