Question

AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of each of its diagonals is ______.

विकल्प

• 5 units

• 3 units

• 4 units

• `sqrt(34)` units

Answer 1

AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of each of its diagonals is `underlinebb(sqrt(34)  units)`.

Explanation:

The other vertex opposite O is B(5, 0) and A is (0, 3), so a diagonal is AB. 

Distance `AB = sqrt((5 - 0)^2 + (0 - 3)^2)` 

= `sqrt(25 + 9)`

= `sqrt(34)`