3 years ago

Right Triangles and Trigonometry Homework 5

1 answer:

4 0

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

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lianna [129]

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jeka57 [31]

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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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kotegsom [21]

What is your question?

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nikitadnepr [17]

As long as you have a passing grade yes you can

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