Question

What is the length of a side of rhombus is 41 cm and its area is 720 cm2 ?

Answer 1

Answer:

Step-by-step explanation:

We have been that length of one side of a rhombus is 41 cm and its area is 720 cm square and we are asked to find the sum of the length of its diagonal.

Let P and Q be diagonals of rhombus.

In order to solve this problem we will use rhombus area formula and Pythagorean theorem.

Using Pythagorean theorem we get,

Now we will use perfect square formula to find the sum of both diagonals.

Upon substituting our findings in the formula we will get,

Therefore, the sum of diagonals is 98.

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