Maths / Coordinate Geometry / Distance Formula

QUESTION

AOBD is a rectangle whose three vertices are vertices A(0,3), O(0,0) and B(5,0). The length of its diagonal is

 OPTIONS A. 5 B. 3 C. $\sqrt {34}$ D. 4
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

We know that, the adjacent of rectangle having angle  $90^o$

Use Pythagoras theorem in   $\Delta OAB.$

$(AB)^2=(OB)^2+(OA)^2$

$=(5)^2+(3)^2$

$=25+9=34$

$AB=\sqrt {34}$

which is the required length of diagonal of rectangle.

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