Answered

At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Discover detailed answers to your questions with our extensive database of expert knowledge.

Question content area top Part 1 The lengths of the sides of a triangle are in the extended ratio 5 ​: 6 ​: 9. The perimeter of the triangle is 100 cm. What are the lengths of the​ sides?

Sagot :

Dinofish32idn

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.

Perimeter

[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.

Lengths Calculation

[tex]5(5) = 25\\6(5) = 30\\9(5) = 45\\[/tex]

The lengths of the sides are 25 cm, 30 cm, and 45 cm.

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.