Question

One side of a parallelogram has length $3$ and another side has length $4$. Let $a$ and $b$ denote the lengths of the diagonals of the parallelogram. Which of the following quantities can be determined from the given information ?
(l) a$+b$ (II)$a^2+b^2$ (III)$a^3+b^3$

• A. Only I
• B. Only II
• C. Only III
• D. Only I and II

Answer 1

The correct option is B Only II

We can use the parallelogram law. It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals.