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Leokris [45]
3 years ago
15

You are asked to draw a triangle with side lengths of 6 inches and 8 inches. What is the longest whole number length that your t

hird side can be?
Mathematics
2 answers:
stepladder [879]3 years ago
4 0
The angle between the 6 inches and 8 inches length sides must be less than 180 degrees.
When the angle between the 6 inches and 8 inches length sides 180 degrees, the length of the third side will be 14 inches.
Therefore, the longest whole number length of the third side is 13 inches.
tensa zangetsu [6.8K]3 years ago
3 0
Fo sides, a,b,c
where c is the longest

c<a+b
or else you won't have a triangle

we want the longest side
this mystery side is c
other ones are a and b

c<6+8
c<14
the next largest whole number is 13

answer is 13 inches
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3 0
3 years ago
RS=2x-8, ST = 11, RT = x+10
ziro4ka [17]

Answer:

Equation~=~\Large\boxed{2x+3=x+10}

x~=~\Large\boxed{7}

RS~=~\Large\boxed{6}

RT~=~\Large\boxed{17}

Step-by-step explanation:

<u>Given information</u>

RS=2x-8

ST=11

RT=x+10

<u>Derived expression from the given information</u>

<em>Presumably, I think this is a combination of segments</em>

RS+ST=RT

<u>Substitute values into the given expression</u>

(2x-8)+(11)=(x+10)

<u>Combine like terms</u>

<em>The following is the expression</em>

\Large\boxed{2x+3=x+10}

<u>Subtract 3 on both sides</u>

2x+3-3=x+10-3

2x=x+7

<u>Subtract x on both sides</u>

2x-x=x+7-x

\Large\boxed{x=7}

<u>Substitute the x value into corresponding expressions to determine the final value</u>

RS=2x-8=2(7)-8=14-8=\Large\boxed{6}

RT=x+10=(7)+10=\Large\boxed{17}

Hope this helps!! :)

Please let me know if you have any questions

3 0
2 years ago
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