Lamar goes shopping for a new flat-panel television. A television is usually described by the length of the screen's diagonal. He finds a great deal on a 42-inch display model. a. If the screen's height is 21 inches, what is the width

The width is 36.4 inches

Step-by-step explanation:

we know that

Applying teh Pythagorean Theorem

where

D is the length of the diagonal of the television

W is the width

h is the height

substitute the given values

solve for W

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl