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Yanka [14]
3 years ago
14

Right Triangles and Trigonometry Homework 5

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

this picture has bad quality, please resend with better picture so i can answer all of them

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Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
Readme [11.4K]

Answer:

Area of parallelogram is 150 square ft

Step-by-step explanation:

Given the parallelogram in the figure whose height is 10 ft and base length is 15 ft.

Area of parallelogram is base \times height

                                       = 15\times 10ft^2

                                       = 150 square ft

now we have to decompose this parallelogram into rectangles and triangles and then to determine the shape.

The given parallelogram KLMN can be decomposed into 2 triangles and one rectangle.

2 right angled triangles KPL and NOM by construction

KL^{2}=KP^{2}+PL^{2}=10^{2}+2^{2}                                          =100+4=104

⇒ KL=\sqrt104=10.2 ft=MN         (∵ KLMN is a parallelogram)

Hence, dimension of triangles are 10 ft, 2 ft and 10.2 ft

Now rectangle KPON with dimension 15 ft and 10 ft because KP and NO are perpendiculars on LM.



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Hi I have a question and I need answer <br>​
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