Mathematics, 23.08.2019 09:10 duckytileboi

An acute triangle has two sides measuring 8 cm and 10 cm. what is the best representation of the possible range of values for the third side, s?

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Answer from: kaziyahf2006

The third side of any triangle must be greater than the difference of the given two sides and must be less than the sum of the given two sides.

Given 8cm and 10cm.

The third side s,

s > (10 - 8) s < (10 + 8)
s > 2 s < 18

s > 2 and s < 18 .

Combining the two inequalities:

2 < s < 18 Range is between 2 and 18.

So the range for third side is a number between 2 and 18 cm. Note that 2 and 18 are not included.

s could be any of 3, 4, 5, 7, 9, 13,..17. I hope this helps.

Answer from: camk4420

The solution for s is the interval--------> (2,18)

All real numbers greater than and less than

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

s-----> the third length side of the given triangle

Applying the triangle inequality theorem

8+10 s

18 s ------->

8+s 10

s 10-8

$s 2\ cm$

The solution for s is the interval--------> (2,18)

All real numbers greater than and less than

Answer from: Quest

answer: a

step-by-step explanation:

10.2 units

Given o below, if and are congruent, what is the measure of chord ?

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

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