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2 years ago

Which set of three numbers could be the side lengths of a triangle?

Mathematics

2 answers:

spin [16.1K]2 years ago

7 0

Answer:

The correct option is C.

Step-by-step explanation:

In a triangle, then sum of two smaller sides is greater than the length of third greatest side.

Let, in a triangle ABC, If the length of sides are $a$ , then

$c$

In option A,

$8\nless 2+4$

Therefore option A is incorrect.

In option B,

$6\nless 2+4$

Therefore option B is incorrect.

In option C,

$7$

Therefore option C is correct.

In option D,

$9\nless 3+5$

Therefore option D is incorrect.

Snezhnost [94]2 years ago

5 0

Answer:

C. 3, 5, 7

Step-by-step explanation:

We know that in a triangle, 'the sum of lengths of two sides is always greater than the length of the third side'.

So, according to our options:

A. In 2, 4, 8. We have 2 + 4 = 6 < 8

B. In 2, 4, 6. We see that, 2 + 4 = 6

C. In 3, 5, 7. We see that, 3 + 5 = 8 > 7

D. In 3, 5, 9. We see that, 3 + 5 = 8 < 9.

Therefore, only option C satisfies the property of the triangle stated above.

Hence, 3, 5, 7 are the side lengths of a triangle.

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Please Help!

alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}$

and a, b and c are the three sides of the triangle

Area of triangle ABD = $s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33$

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0

2 years ago

Read 2 more answers

Which of the following is in the solution set to 3x - y = 12? (hint: what

expeople1 [14]

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

5 0

2 years ago

2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B

inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

2. BC= 5x+2 where x is 5

5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

6 0

3 years ago

80 pts!!! Plz answer me will mark as brainliest

nignag [31]

Answer:

Step-by-step explanation:

The numbers 0 and 1 are neither prime nor composite. They are too special because they represent nothingness (zero) and wholeness (one), so the idea of having factors for 0 and 1 does not make sense. ... For example, all even numbers are divisible by two, and so all even numbers greater than two are composite numbers.if a natural number is not prime, then we say that it is composite. ... Example: The value six, 6, is a composite number because it has four counting number factors: 1, 2, 3, and 6. We have 1 · 6 = 6 and 2 · 3 = 6. It turns out that mathematicians have declared that 1 is neither prime nor composite.

6 0

3 years ago

Read 2 more answers

What is the value of X?

Bond [772]

Answer:

it is 5

Step-by-step explanation:i nailed agelbra and i got a 100% percent on the tesy

4 0

2 years ago

Read 2 more answers