After joining two pieces of picture frame together a picture frame maker checks at work by measuring the diagonal the sides of the frame form a right angle and the measurements are as follows a equals 12 inches and be equals 5 inches

Respuesta :

Answer: Diagonal of rectangular frame = 13 inches

Explanation :

We are given that

Length of rectangular frame=12 inches

Breadth of rectangular frame=5 inches

Diagonals of rectangular frame = ?

By using pythagoras theorem, we can find

[tex]H^2= B^2+P^2[/tex] , where H denotes hypotenuse , B denotes base and P denotes perpendicular,

[tex]H^2=12^2+5^2\\H^2=144+25\\H^2=169\\H=\sqrt{169}\\H=13\text{ inches}[/tex]

∴ Diagonal = 13 inches