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mote1985 [20]
3 years ago
8

The lengths of the sides of a triangle are in the extended ratio 8:9:10. The perimeter of the triangle is 54 cm. What are the le

ngths of the sides?
The lengths of the sides of the triangle in cm are
(Use a comma to separate answers as needed. )
Mathematics
1 answer:
loris [4]3 years ago
6 0
<h2>Answer :</h2>

Ratio = 8:9:10

Let the sides be = 8n,9n,10n

Perimeter = sum of all the sides

= <u>8n+9n+10n=27n</u>

<em>Thus ,</em>

= 27n=54 cm

= n = 54 cm/27

= n= 2 cm

Thus , sides =

= 8n = 8×2 cm = 16 cm

= 9n = 9×2 cm = 18 cm

= 10n = 10×2 cm = 20 cm

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Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles

<em>Solution; 290.5 square miles</em>

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3 years ago
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