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3 years ago

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

Mathematics

2 answers:

spin [16.1K]3 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]3 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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Answer the following questions using metric conversions.

nydimaria [60]

Answer:

Ok, here is the answers! brainliest pleaseee :D

Step-by-step explanation:

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15 - Alex's sister rode the farthest. She rode 1,000 meters farther than Alex. 2 kilometers in meters is 2,000 meters. His sister rode 1,000 meters more than that, 3,000.

3 0

3 years ago

In the figure, what is the area of the shaded region?

Hatshy [7]

Use Pythagoras theorem
${(6 + 3)}^{2} + {x}^{2} = {15}^{2} \\ {x}^{2} = 144 \\ x = 12$
Two triangles are similar
$\frac{6}{9} = \frac{y}{12} \\ y = 8$
(6+3)*12/2 - 6*8 /2 = 30

5 0

3 years ago

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I know the answer but I need an explanation of how it is the answer plss.

Mashcka [7]

Answer: I got the answer by adding and subtracting

Step-by-step explanation:

4 0

3 years ago

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A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bre

Aleksandr [31]

Answer:

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread : Choc - chip

2 : 3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

⇒ 32

Hope this helps you :-)

5 0

2 years ago

Please help with this question. I would appreciate it!

Veronika [31]

Answer:

Mass of A = 5760 grams

Step-by-step explanation:

Surface area is given, so we can set-up a similarity equation to solve for k, proportionality constant. Here, we will relate both of them through k^2, because they are 2 dimensional (area). Thus

Surface Area of A = k^2 * Surface Area of B

28 = k^2 * 40.32

k^2 = 28/40.32

k^2 = 25/36

k = Sqrt (25/36)

k = 5/6

Now, we want to find mass (1 dimensional quantity), thus we can say:

Mass of A = k * Mass of B

Mass of A = (5/6) * (6912)

Mass of A = 5760 grams

8 0

3 years ago

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