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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