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Pavel [41]
1 year ago
5

the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?​

Mathematics
2 answers:
REY [17]1 year ago
7 0

Answer:

10, 41, 42

Step-by-step explanation:

(n)+(4n+1)+(5n-8)=93 because triangle perimeter

10n-7=93

10n=100

n=10

Nastasia [14]1 year ago
6 0

Answer: 10 cm, 41 cm, and 42 cm

Step-by-step explanation:

       We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.

   Perimeter of a triangle:

P = <em>side a</em> + <em>side b</em> + <em>side c</em>

   Plug in our known values:

93 cm = (n) + (4n + 1) + (5n - 8)

   Simplify and combine like terms:

93 cm = n + 4n + 1 + 5n - 8

93 cm = n + 4n + 5n + 1 - 8

93 cm = 10n -7

   Add 7 to both sides of the equation:

100 cm = 10n

   Divide both sides of the equation by 10:

10 cm = n

n = 10 cm

        -

   Solve for the lengths of each side:

n = 10 cm

4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm

5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm

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