Question

Ans.
Q.8. Perimeter of a rhombus is 146 cm and
the length of one of its diagonals is 48 cm. Find
the length of its other diagonal.​

Answer 1

Answer:

55 cm

Step-by-step explanation:

Since all sides of Rhombus are same, so side of a rhombus is 146/4 = 36.5 cm

Length of one diagonal is 48 cm

Note - The 2 diagonals of a rhombus bisect each other. So we will find the value of other diagonal by using pythagoras theorem.

$36.5^{2} =24^{2} +x^{2}$

(here 24 is the half of diagonal)

⇒ 1332.25 = 576 + $x^{2}$

⇒756.25 = $x^{2}$

⇒ 27.5 = $x$

So the ither diagonal is 2x = 27.5*2 = 55