The net of a triangular prism is shown.

Mathematics

2 answers:

Stella [2.4K]2 years ago

7 0

Its C. 48 in2
Explanation:
The formula for the area for a rectangle is length x width.
The formula for the area of a triangle is
Base x height divided by 2

The net given is a flattened out version of a triangular prism.
A net is usually given when ur finding the surface area of a 3d figure since it is more easier. Surface area is just adding up all the area of the faces that make up the figure.

Ima just sum it up all for you:
The area of the BOTH triangles is 6 in2
The area of the square on the left is 9 in2
Area of the rectangle at the center is 12 in2
Area of the rectangle on the right is 15 in2

Add up 6 + 6 + 9 + 12 + 15 = 48

HAVE A NICE DAY (and please mark me BRAINLIEST tysm)

FrozenT [24]2 years ago

4 0

Answer:

I’m pretty sure 60 or 56

Step-by-step explanation:

12+12+12+14+16 should be each square/shape I wrong so I’m so sorry I really hope I helped I think my equation is wrong but I hope my answer isn’t

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I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!

frutty [35]

Answer:

17) x=8

18) $x=\sqrt{189}$ or $x= 3\sqrt{21}$

Step-by-step explanation:

So the rule is $a^{2} +b^{2} =c^{2}$ , "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

$x^{2} +x^{2} =(8\sqrt{2}) ^{2}$

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)

$2x^2=8^2(\sqrt{2} )^{2}$

$2x^2=64(2)$

$2x^2=128$

$x^{2}= 128/2$

$x^{2} =64$

x=8

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

$c^{2} - b^{2} = a^{2}$