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3 years ago

What are the possible side lengths of a triangle

1 answer:

8 0

1. Consider a triangle with sides a, b and c.

2. a, b and c can be sides of a triangle only if each of these conditions hold:

i) a+b>c
ii) b+c>a
and iii)a+c>b

3. So the only condition for 3 numbers to be the side lengths of a triangle is that the sum of any 2 of them must be larger than the third number

4. This is called the "triangle inequality".

You might be interested in

True or false? The hypotenuse is the shortest side of a right angled triangle

kicyunya [14]

Answer:

false

Step-by-step explanation:

its the longest side opposite the 90 degree angle

5 0

2 years ago

Read 2 more answers

Answer with proper units too!

EastWind [94]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3. area of trapezium = 1/2 * (a+b) * h

area = 1/2 * (6+12) * 4 = 36ft squared

perimeter = sum of outer perimeters

perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

3 0

2 years ago

A local hamburger shop sold a combined total of 483 hamburgers and cheeseburgers on Thursday. There were 67 fewer cheeseburgers

dusya [7]

Answer:

416, I believe this is the answer.

Step-by-step explanation:

483 - 67 = 416

5 0

2 years ago

Read 2 more answers

2, 6, 10, 14, ...

8090 [49]

The sequence can be represented by $2 + 4x$ , where $x$ is a whole number( $x \geq 0$ and $x$ is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to $2 + 4x$ and confirm that there is a whole number x which equals the values selected.

$2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark$

$2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark$

$2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5$

When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.

$2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark$

$2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark$

6 0

2 years ago

Jake ate 1/6 of the cookies at the party if he ate 5 cookies how many cookies were there in all

egoroff_w [7]

If Jake ate 1/6 of the cookies at the party and we know he ate 5 cookies. We must find out how many cookies there are in all.

$\frac{1}{6} = \frac{5}{x}$

Now x here represents how many total cookies are at the party.

We have to simply find out what 1 was multiplied by to get 5.

We can do this by dividing.

5 ÷ 1 = 5

So the numerators (the top numbers) were multiplied by 5. We can do the same to the denominators (the bottom numbers) to get the total number of cookies.

Lets multiply.

6 x 5 = 30

So the total number of cookies is 30

Good Luck! <3

3 0

2 years ago