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lidiya [134]
2 years ago
8

Answer this question. (5.6)(1.8)

Mathematics
2 answers:
Ronch [10]2 years ago
8 0
10.08 is the answer
OverLord2011 [107]2 years ago
4 0
(5.6)(1.8) the answer is 10.08
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3 years ago
Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fenc
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27 ft

Step-by-step explanation:

Given: A garden in the shape of a 45º-45º-90º triangle.

Area of triangle= 32 ft²

As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.  

∴ Base and height will be equal.

Assuming base is also as "h"

Now, finding the length of base and height by using area of triangle formula.

Area of triangle=  \frac{1}{2} \times base\times height

⇒32= \frac{1}{2} \times h\times h  

Multiplying both side by 2

⇒64= h^{2}  

Square rooting both side, remember; √a²= a

⇒  \sqrt{64} = h

∴ h= 8 feet

Hence, both base and height of right angle triangle is 8 feet.

Next, finding total fencing required to enclose the garden.

Perimeter of garden is equal to the amount of fencing required by Adaline.

Therefore, finding the length of hypotenous of triangle too.

Using pythogorean theoram.

h^{2} = a^{2} +b^{2}, where a is the height and b is the base of triangle.

⇒ h^{2}= 8^{2}  +8^{2}

⇒ h^{2} = 128

Square rooting both side

⇒h= \sqrt{128}

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