The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2
Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w
Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16
This means that the width of the screen is 16 in.
Answer:
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Step-by-step explanation:
The surface area of the triangular prism is 144 cm²
<u>Explanation:</u>
Given:
Base of the triangle = 4
Height of the triangle = 3
Hypotenuse of the triangle = 5
Length of the prism = 11
Surface area of the rectangular prism = ?
Surface area, A = 
On substituting the value, we get:
Therefore, the surface area of the triangular prism is 144 cm²
Answer: -20, 48
Step-by-step explanation: 5 x -4 = -20 6 x 8 = 48
