Question

If the diagonals of a rhombus are the roots of the quadratic equation

x² - px + q =0 then express the perimeter of the rhombus in terms of

p and q .

explain in detail .

Answer 1

NOTE : [Please see the attached picture before seeing this]

Now,

As We know that perimeter of rhombus = 4×side

Here,

Perimeter of rhombus = 4×{√(p²-2q)}/2

$perimeter \: of \: rhombus \: = 2 \sqrt{p^{2} - 2q }$

I hope this will help you

-by ABHAY

Answer 2

Step-by-step explanation:

____________

2 √ p² - 2q

Hope this answer may help u mate