Respuesta :
Answer:
45 in, 30 in and 25 in
Step-by-step explanation:
Add the parts of the ratio : 9 + 6 + 5 = 20 parts
Divide the perimeter by 20 to find one part of the ratio.
[tex]\frac{100}{20}[/tex] = 5 ← 1 part of the ratio
9 parts = 9 × 5 = 45
6 parts = 6 × 5 = 30
5 parts = 5 × 5 = 25
45 inches, 30 inches and 25 inches are the measures of each side
The ratio of the measure of the three sides of a triangle 9:6:5.
The sides of triangle are 45 inches, 30 inches and 25 inches.
Given:
The ration of lengths are: 9:6:5
Let the sides be denoted as: 9x, 6x, 5x
The perimeter = 100 inches
The perimeter of a triangle can be calculated by simply adding the length of all the sides.
[tex]9x+6x+5x=100\\20x=100\\x=\frac{100}{20} \\x=5[/tex]
The sides can be found as follows:
9x = 9(5) = 45 inches
6x = 6(5) = 30 inches
5x = 5(5) = 25 inches.
Therefore, the sides of triangle are 45 inches, 30 inches and 25 inches.
For more information:
https://brainly.com/question/1883858
