Respuesta :
Answer:
The answer to your question is 90 cm, 150 cm, 210 cm
Step-by-step explanation:
Data
Proportion 3 : 5 : 7
Perimeter 450 cm
Process
1.- Sum the proportions to find the total number of parts.
3 + 5 + 7 = 15 parts
2.- Divide the perimeter by the total number of parts
450 / 15 = 30
3.- Find the measure of the sides multiplying each ratio by the previous result
Side 1 = 3(30) = 90 cm
Side 2 = 5(30) = 150 cm
Side 3 = 7(30) = 210 cm
The measures of each side of the triangle are 90cm, 150cm and 210cm
If the measures of the sides of a triangle is 3:5:7 and its perimeter is 450 cm, then the ratio of the sides will be:
3x:5x:7x
Taking the sum of the ratios and sum it to 450cm, wee will have;
3x + 5x + 7x = 450
15x = 450
x = 450/15
x = 30
The first side = 3x = 3(30) = 90cm
Second sidee = 5(30) = 150cm
Thirs side = 7(30) = 210cm
Hence the measures of each side of the triangle are 90cm, 150cm and 210cm
Learn more on triangles here: https://brainly.com/question/2938476