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2 years ago

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Can the numbers 12,6 , 6 be used to form the sides of a triangle

1 answer:

Naddika [18.5K]2 years ago

6 0

we have three sides, let's look at the two smaller sides first.

check the picture below, atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 6 - 6 = 0. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 0.

check the picture below, at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 6 + 6 = 12. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 12.

so, 12 is a no dice.

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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

wel

Answer:

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

⇒ $h= \sqrt{128}$

∴ h= 11.3 feet

Perimeter of garden= $base+height+hypotenous$

⇒ Perimeter of garden= $8+8+11.3= 27.3\ feet$ $\approx 27\ feet$

Hence, 27 feet fencing is required to enclose the garden.

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3 years ago

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What is the result of the mathematical expression of 1b^3+1b?

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

b^3+b

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3 years ago

What is the value of the expression 145÷27?

kondaur [170]

Answer:

5.37037037

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2 years ago

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What is the factored from for -2r-6 PLEASE HELP! WILL MARK BRAINLIEST

Katarina [22]

Answer:

-2(r+3)

Step-by-step explanation:

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3 years ago

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Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?

Korvikt [17]

Answer:

$5\sqrt{2}$ units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.

$\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2$

Substituting our given values in above equation we will get,

$\text{Hypotenuse}^2=5^2+5^2$

$\text{Hypotenuse}^2=25+25$

$\text{Hypotenuse}^2=50$

Upon taking square root of both sides of our equation we will get,

$\text{Hypotenuse}=\sqrt{50}$

$\text{Hypotenuse}=\sqrt{25*2}$

$\text{Hypotenuse}=5\sqrt{2}$

Therefore, the length of hypotenuse of triangle ABC is $5\sqrt{2}$ units.

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3 years ago

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