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Inga [223]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
eduard2 years ago
3 0

The approximate area in square feet of the side panel is 146.4 ft²

<h3 /><h3>What is area:</h3>

Area can be defined as the size of a surface. In other words it is defined as the space occupied by a shape.

Therefore, area of a triangle can be described as follows:

  • area = 1 / 2 bh

where

b = base

h = height

Using trigonometric ratio, let's find the height of the right angle triangle. Therefore,

sin 30° = opposite / hypotenuse

sin 30° = h / 26

cross multiply

h = 26 × 1 / 2

h = 13 ft

Let's find the base of the triangle using Pythagoras theorem. Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other 2 legs.

Therefore,

26² - 13² = b²

b² = 676 - 169

b = √507

b = 22.5166604984 ft

Area of the side panel = 1 / 2 × 22.5166604984 × 13

Area of the side panel = 292.716586479 / 2

Area of the side panel = 146.35829324

Area of the side panel = 146.4 ft²

learn more on right angle triangle: brainly.com/question/26225280?referrer=searchResults

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