Question

the perimeter of rhombus with one diagonal 24cm long is the same as the perimeter of an equilateral triangle with side 20cm find the length of the other diagonal

Answer 1

4a=3×20
a=15cm
as the diagonal bisects each at 90° then in any traingle base will be 12 (24/2) nd hypotenuse is 15
so x=√225-144=√81=9
so other diagonal will be 9×2=18 cm
hope you find this helpful

Answer 2

Perimeter of rhombus = 60cm
So,one side = 15cm
And one diagonal = 24cm
Half of diagonal = 12cm
$\sqrt{(15 { }^{2} } - 12 {}^{2})$
Then the half of the other diagonal =9cm
and second diagonal is 18cm