To find the lengths of the sides, we first need to determine the constant factor that relates the ratio to the actual lengths.
The extended ratio is 4:7:10, and the sum of the parts in the ratio is 4+7+10 = 21.
If the perimeter of the triangle is 42 cm, then each part in the ratio corresponds to 42/21 = 2 cm.
Therefore, the lengths of the sides of the triangle are:
4 x 2 = 8 cm
7 x 2 = 14 cm
10 x 2 = 20 cm
So the correct answer is A, 8 cm, 14 cm, 20 cm.
The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 10. The perimeter is 42 cm. What are the length of the sides?
A
8 cm, 14 cm, 20 cm
B
4 cm, 7 cm, 10 cm
C
12 cm, 14 cm, 16 cm
D
6cm, 14 cm, 22 cm
1 answer
1 answer