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Lemur [1.5K]
3 years ago
14

Does 21, 10, and 9 be the measures of the sides of a triangle

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

Answer:

no

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9+10 > 21

19 >21

This is not true so it cannot make a triangle

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The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
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<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

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The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

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Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

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