Question

A square television screen has 19-inch diagonal. How long is a side of the screen, to the nearest tenth?
Length of side______ Area_____

Answer 1

Being a square, all sides have to be equal. Using the a^2+b^2=c^2 (pythagorean theorum) rule, two sides squared have to equal the hypotenous squared.

i.e. a^2+b^2=19^2 or 2*b^2=19^2

Divide each side by 2 and sqrt().

b^2=361/2
b=13.4in

A=b*h
//base and height are the same b/c square
A=13.4*13.4
A=180.5in^2

Answer 2

Thank you