Question

In a rectangle the length of a diagonal is (x-2), breadth is 5cm. Find the length of the rectangle

Answer 1

Answer:

Diagonal =

(length)

2

+(breadth)

2

=

12

2

+5

2

=

169

=13cm

Answer 2

Answer:

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so here we go

Step-by-step explanation:

now let required rectangle be rectangle abcd

so now as it is rectangle angle b=90

and similarly remaining would also be 90 each

so here ac is diagonal

so in triangle abc angle abc=90

therefore use pythagoras

we get

ac square=ab square+bc square

so (x-2) square=ab square+(5) square

ie ab square =x square+4-4x-25

so x square-4x-21

ie x square -7x+3x-21

so x(x-7)+3(x-7)

so x=7 or x=-3

x=-3 is absurd because length dimensions are never negative

so x=7

now substitute it in x-2

you get x=5

now just see that diagonal is 5 and breadth is also 5

so when we would use pythagoras these like terms would get eliminated

so then ab=0

hence length of rectangle is 0 cm