Question

In a rectangle CALM CA = 4 AL= 3 Find the length of a diagonal
CL and AM

Answer 1

In triangle C A L M we have CA is 4 and AL is equals to 3 cm and if you will join CL it will be hypotenuse of the triangle CAL ( in a rectangle each angle is 90 degree that means angle A is 90 degree)

(CL)^2=(AL)^2+(CA)^2 (Phythagorean theorem)

(CL)^2=
${3}^{2} + {4}^{2}$
CL^2=
${3}^{2} + {4}^{2} = 9 + 16$
CL^2= 25
CL=
$\sqrt{25} = 5$

We know diagonals are equal in a rectangle so diagonal CL =AM = 5cm(ANS)