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Sindrei [870]
3 years ago
15

The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

  • 4 in
  • 13 in

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

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8 0
3 years ago
Solve 90x = 81+25x^2​
qwelly [4]

Answer:

1.8

Step-by-step explanation:

Solve for x

90

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+

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Factor the left side of the equation.

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−

(

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x

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(

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x

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0

.

5

x

−

9

=

0

Solve for

x

.

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x

=

9

5

The result can be shown in multiple forms.

Exact Form:

x

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Decimal Form:

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Mixed Number Form:

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6 0
3 years ago
The perimeter is 102 feet find m
Alex
12.75
PROOF:
find all the m's first
3m+3m+m+m=8m
8m=102
Divide both sides, and you get 
12.75
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Thepotemich [5.8K]

Answer:

y=mx+b is the equation for a line, x and y being coordinates, m as your slope and b as your y intercept. Slope is rise over run.

Step-by-step explanation:

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