Answer:
(a) The width is 40 inches
(b) It will not
Step-by-step explanation:
Given
-- Diagonal
Solving (a): H = 30 --- (height).
Find the width (W)
To do this, we make use of Pythagoras theorem

This gives:


Collect Like Terms


Take square roots

Solving (b): Will it fit into a 30 in wide cabinet?
In (a) above, we calculated the width of the TV to be 40 inches
This implies that, the width is greater than the width of the cabinet.
<em>So, it will not fit in</em>