Televistion screens!!!!!!!!!!!!!!!!!!

Question

Two televisions have rectangular screens with the same ratio of base to height. One has a 32 in. diagonal, and the other has a 36 in. diagonal. a. What is the ratio of the height of the larger screen to that of the smaller screen. b. What is the Ratio of the area of the Larger screen to that of the smaller screen.

Answer 1

Large TV : base = B and height = H

Small TV : base = b and height = h

Given that large TV base B = 36

Small TV base b = 32

The two triangles are similar, so the ratio of any pair of corresponding sides is the same.

Then, B/b = H/h

H/h = B/b

Substitute B = 36 and b = 32 in the equation.

H/h = 36/32

Simplify

H/h = 9/8

There fore ratio is H : h = 9 : 8

Large TV height : small TV height = 9 : 8