First, we need to find the common factor for the extended ratio 5:9:10. The common factor is 5, so we can rewrite the extended ratio as 5x : 9x : 10x, where x is the common factor.
Next, we can set up an equation to find the value of x. The perimeter of the triangle is the sum of the lengths of all three sides, so we have:
5x + 9x + 10x = 48
Solving the equation, we get:
24x = 48
x = 2
Now that we have the value of x, we can find the lengths of the sides by plugging in x:
Side 1: 5x = 5*2 = 10 cm
Side 2: 9x = 9*2 = 18 cm
Side 3: 10x = 10*2 = 20 cm
Therefore, the lengths of the sides are 10 cm, 18 cm, 20 cm, which corresponds to option A.
The lengths of the sides of a triangle are in the extended ratio 5 : 9: 10 . The perimeter of the triangle is 48 cm. What are the lengths of the sides?
A
10 cm, 18 cm, 20 cm
B
5 cm, 9 cm, 10 cm
C
12 cm, 16 cm, 20 cm
D
15 cm, 27 cm, 30 cm
The triangles are similar. Solve for x:
1 answer
1 answer