Can the sides of a triangle have lengths 3, 16, and 19?

Mathematics

1 answer:

mafiozo [28]2 years ago

5 0

According to Triangle Inequality Theorem,

adding ANY two sides (together) of a triangle must be GREATER than the third side.

Meaning, two sides CANNOT be less than the third side andCANNOT be equal to the third side.

Because when you add 3 and 16, you get 19.

19 is EQUAL to the third side, 19. This BREAKS the condition of the theorem.

ANSWER: No, the triangle cannot have the lengths of 3,16, and 19.

You might be interested in

According to scientific research, the probability that a person between the ages of 20 and 25 having high blood pressure, is onl

boyakko [2]

Answer:

<h2>The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .</h2>

Step-by-step explanation:

The probability of having high blood pressure is 17%.

We need to find the probability of 2 or fewer have high blood pressure.

Possibility 1: No one have high blood pressure.

The probability is ${\frac{100 -17}{100} }^{10} = {\frac{83}{100} }^{10}$ .

Possibility 2: Only one have high blood pressure.

The probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ .

Possibility 3: 2 among the 10 have the high blood pressure.

${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ .

Any of the possibilities can happen.

Hence, the required probability is ${\frac{83}{100} }^9 \times \frac{17}{100}$ + ${\frac{83}{100} }^8 \times {\frac{17}{100} }^2$ + ${\frac{83}{100} }^{10}$ .

4 0

3 years ago

Square root of 16 in simplest form

FrozenT [24]

√16=4
Hope i could help. -\(-_-)/-

6 0

3 years ago

Read 2 more answers

Find the surface area<br> Will give brainliest to first answer!!!!

user100 [1]

120 I think I’m not sure

7 0