3 years ago

Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x?

1 answer:

3 0

In a triangle the sum of two sides is always greater than the third side.

12-5 < x < 12+5
7 < x < 17 ← answer

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OlgaM077 [116]

Answer: Required expression: $\dfrac14\times(18+16)$

Result: $\dfrac{17}{2}$

Step-by-step explanation:

Given phrase: $" \dfrac14\text{ of the sum of } 18\text{ and }6. "$

Required expression: $\dfrac14\times(18+16)$ ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

$\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}$

Hence, $\dfrac14\times(18+16)=\dfrac{17}{2}.$

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RideAnS [48]

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multiply 5 by 18 to find the answer

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Sedaia [141]

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