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Alika [10]
3 years ago
12

Which of the following sets could be the sides of a right triangle?

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

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Simplify g^1/2 * g^1/2 using the radical form.
guapka [62]

Answer:

√g *√g = g

Step-by-step explanation:

recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.

So, we then have

√g * √g

Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical

√g * √g = √(g * g)

This gives us √(g²)

recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)

√(g²) = g

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3 years ago
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OverLord2011 [107]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Which is the area of the rectangle?
Lera25 [3.4K]

Answer:

Answer is C.

Step-by-step explanation:

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3 years ago
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Circumfrance of a circle with a diameter of 18 inches? use 3.14 for pi, do not round your answer
yarga [219]

Answer:

C = 56.52 inches

Step-by-step explanation:

Given the following data;

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Pie, π = 3.14

To find the circumference of the circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πD

Where, D is the diameter of a circle.

Substituting into the formula, we have;

C = 3.14 * 18

C = 56.52 inches

7 0
3 years ago
Please please please help ? Please and thank you in advance! it'll be appreciated greatly!
Dmitriy789 [7]
Perimeter: You have to add up ALL the sides 12+12+3+3= 30 in square is the Perimeter
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