Question

Each diagonal of a rectangle is 13cm and its length is 12 cm. Find its breadth.​

Answer 1

Answer:

Explanation:

The perimeter of the rectangle is 34 cm

Step-by-step explanation:

Let ABCD be the rectangle whose length is 12 cm,diagonal is 13 cm.

Now we know that all angles of arectangle are right angles.So,we can use pythagoras theorem to find the breadth.

So,applying pythagoras theorem,

(hypotenuse)^2=(perpendicular)^2+(base)^2 =>13^2=(perpendicular)^2+12^2 => (perpendicular)^2=13^2-12^2 => (perpendicular)^2=(13+12)(13-12)[a^2-b^2=(a+b)(a-b)] => (perpendicular)^2= 25×1 =>(perpendicular)^2=25 =>(perpendicular)=25^1/2 =>(perpendicular)=5. So,the breadth of the rectangle is 5cm.

Now perimeter of the rectangle=2(l+b) =>perimeter=2(12+5)

=>perimeter=2×17

=>perimeter=34.

So,the perimeter of this rectangle is 34 cm.