Television sizes are described by the length of their diagonal measure. what would be the listed size of the tv shown? (to the nearest whole inch)
a) 31 inches
b) 32 inches
c) 36 inches
d) 42 inches

Here the television is of the shape of a rectangle.

If we draw a diagonal then it will divide the rectangle into two right angled triangles.

So we have to find length of hypotenuse in this case that will be diagonal itself.

The measure of two legs are ,

28 in. and 15.7 in.

Now in a right angled triangle pythagoras theorem is applied as :

where a and b are legs of the triangle and c is hypotenuse.

So plugging values of a and b,

c=32.101

So diagonal is 32.101 inches.

Rounding off it equals 32 inches.

The size of television is 32 inches. option B.

step-by-step explanation:

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.