Respuesta :
Answer: 1.)
A. 30in^2
B. 18cm^2
C. 130yd^2
2.) The formula for the area of a triangle is half the base times the height. So 1/2 x 40 x 32 = 640cm^2
3.) 17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards respectively.
4.) From the Pythagorean Theorem we know:
hypotenuse^2 = side^2 + side^2
hypotenuse^2 = 36 + 36
hypotenuse = square root (72)
hypotenuse = 8.48528... feet
5.) a. 5
b. √128
c. √221
Surface area of the triangular top of the table is equal to [tex]640[/tex] square centimeters.
What is surface area?
" Surface area is defined as the total area of all the surfaces of the given geometrical shape."
Formula used
Area of a triangle [tex]= \frac{1}{2} \times Base \times height[/tex]
According to the question,
Given dimensions of the triangular top of the table,
Height of the triangular top table [tex]= 32[/tex] centimeters
Base of the triangular top table [tex]= 40[/tex] centimeters
Substitute the value to get the surface area of the top of the triangular table,
It represents only one top surface.
Area of the triangular top of the table [tex]= \frac{1}{2} \times 32\times 40[/tex]
[tex]= 640[/tex] square centimeters
Hence, surface area of the triangular top of the table is equal to [tex]640[/tex] square centimeters.
Learn more about surface area here
brainly.com/question/2835293
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