The perimeter of a triangle is 141 inches. The lengths of the sides are in the ratio 5:12:13. Calculate the length of each side.

Mathematics

1 answer:

Akimi4 [234]3 years ago

8 0

Answer:

One side has length 5x

One side has length 12x

One side has length 13x

Step-by-step explanation:

5x + 12x + 13x = 15

x = 15/(5 + 12 + 13) = 15/30 = 0.5

5(0.5) = 2.5

12(0.5) = 6

13(0.5) = 6.5

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3241004551 [841]

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$x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4$