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2 years ago

The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?

Mathematics

1 answer:

Westkost [7]2 years ago

7 0

Answer:

Let x = the third side

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

We can construct 3 inequalities to obtain the range of values for the third side.

(Inequality #1) 12 + 4 > x

16 > x

(Inequality#2) 12 + x > 4

x > -8 (we can discard this ... we know all sides will be positive)

(Inequality #3) 4 + x > 12

x > 8

So when we combine these together,

8 < x < 16

X (the third side) must be a number between 8 and 16. but not including 8 and 16

You might be interested in

The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len

Liula [17]

Using the Pythagorean theorem:

6^2 + X^2 = 14^2

36 + x^2 = 196

X^2 = 196-36

x^2 = 160

x = SQRT(160)

x = 4 SQRT(10)
Or as a decimal:
x = 12.65 inches

5 0

3 years ago

Read 2 more answers

At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of reg

emmainna [20.7K]

Answer:

d) 5/12

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

$\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}$

The correct answer is given by option d.

6 0

3 years ago

Math, i can give you brainliset just help me with the two questions :)

Kay [80]

Answer:

2. the interquartile range is 20

3. 80 is the median.

Step-by-step explanation:

have a nice day.

8 0

3 years ago

A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian

Minchanka [31]

Answer:

Question 1:

(b) 4,445

Question 2:

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.