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The problem you provided states:

"**Rasio panjang sisi segitiga adalah 2:3:4. Jika sisi terpendek adalah 10 cm, berapa panjang sisi terpanjang?**"

This means that the ratio of the triangle's sides is 2:3:4, with the shortest side being 10 cm. To find the longest side, we can follow these steps:

1. Let the sides of the triangle be \( 2x, 3x, 4x \), where \(x\) is a scaling factor.
2. The shortest side is given as \( 2x = 10 \, \text{cm} \).
3. Solving for \(x\):
   \[
   2x = 10 \implies x = \frac{10}{2} = 5.
   \]
4. Now, calculate the longest side:
   \[
   4x = 4 \times 5 = 20 \, \text{cm}.
   \]

Therefore, the length of the longest side is **20 cm**.

Would you like further details on this solution or have any additional questions?

Here are 5 related questions to deepen your understanding:
1. How would the ratio affect the sides if the shortest side were different?
2. Can a triangle have a ratio like 1:1:3 and still be valid?
3. How do we calculate the perimeter of this triangle?
4. What type of triangle has sides in a 2:3:4 ratio?
5. How does knowing the area of the triangle change the approach to solving it?

**Tip:** Ratios are a useful way to maintain proportions between related quantities, and knowing one value allows you to calculate others using the same ratio.

Rasio panjang sisi segitiga adalah 2:3:4. Jika sisi terpendek adalah 10 cm, berapa panjang sisi terpanjang?

Learn how to calculate the longest side of a triangle with side ratios of 2:3:4 when the shortest side is 10 cm. This problem covers key concepts in ratios and geometry, suitable for students in Grades 6-8.

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