Question

14 the lengths of the sides of a triangle are in the ratio 3:5:7. its perimeter is 120 cm. find the length of the longest side of the triangle.

Explanation:

Step1: Define side variables

Let the sides be $3x$, $5x$, $7x$.

Step2: Set perimeter equation

$$3x + 5x + 7x = 120$$

Step3: Solve for $x$

$$15x = 120 \implies x = \frac{120}{15} = 8$$

Step4: Calculate longest side

Longest side is $7x = 7 \times 8$

Answer:

YELLOW: 56 cm