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Kobotan [32]
3 years ago
10

Determine whether each set of numbers can represent the sides of a triangle:

Mathematics
1 answer:
lesya [120]3 years ago
4 0
<h3>{ 13, 9, 6} represent the sides of a triangle</h3>

<em><u>Solution:</u></em>

<em><u>Use the triangle inequality law</u></em>

The sum of the lengths of any two sides of a triangle must be greater than the third side

<em><u>Option A</u></em>

{13, 9, 6}

13 + 9 > 6\\\\22 > 6

Also,

9+6>13\\\\15>13

Thus, sum of length of any two sides is greater than third side

Therefore, { 13, 9, 6} represent the sides of a triangle

<em><u>Option B</u></em>

{12, 7, 20}

12+7>20\\

19 is not greater than 20

Therefore, {12, 7, 20} does not represent the sides of a triangle

<em><u>Option C</u></em>

{25, 50, 75}

25+50>75\\

75 is equal to 75

Therefore, {25, 50, 75} does not represent the sides of a triangle

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What is the answer to a,b, and c? Thanks!
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The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².

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Answer:

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Step-by-step explanation:

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Juliette [100K]
Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again





first multiply ac
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now
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2 and 10
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undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
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