IDNLearn.com: Where curiosity meets clarity and questions find their answers. Get accurate and timely answers to your queries from our extensive network of experienced professionals.
Answer: 25 cm, 30 cm, and 45 cm
Step-by-step explanation:
If the sides of a triangle are 5:6:9, then the side lengths are 5x, 6x, and 9x respectively. By finding the perimeter of this general form, we can solve for x, then the individual sides.
[tex]P = 5x + 6x + 9x\\100 = 20x\\x = 5[/tex]
Since x = 5, we can multiply this by the ratio to get the individual lines.
[tex]5(5) = 25\\6(5) = 30\\9(5) = 45\\[/tex]
The lengths of the sides are 25 cm, 30 cm, and 45 cm.