elinlee
Answered

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The perimeter of a triangle is 42 inches. The lengths of its sides are in the ratio 5:7:2. Find the length of the longest side of the triangle.

I need the answer ASAP OMGGG

Sagot :

5+7+2=14
42:14=3
5•3=15
7•3=21
2•3=6
P=42
42=15+21+6
Longest side of triangle is 21 inches long
Janessa07

Answer:

The length of the longest side of the triangle is 21 inches.

Step-by-step explanation:

Sum of ratios = 5 + 7 + 2

                      = 14

First side of the triangle = [tex]\frac{5}{14}[/tex] × [tex]\frac{42}{1}[/tex]

                                        = 5 × 3

                                        = 15 inches

2nd side of the triangle = [tex]\frac{7}{14} * \frac{42}{1}[/tex]

                                       = 7 * 3

                                       = 21 inches

3rd side of the triangle = [tex]\frac{2}{14} * \frac{42}{1}[/tex]

                                      = 2 × 3

                                      = 6 inches

∴The longest side of the triangle is 21 inches.

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