a triangle has sides of lengths 4.2, 5.7, and 7.2 inches. The smallest side of a similar triangle is 1.4 inches. What are the lengths of the other two slides? Write the smaller length first and the larger side length second.
he smaller side length is ___ inches and the larger side length is ___ inches.
To find the lengths of the other two sides of the similar triangle, we need to multiply each side of the given triangle by the scale factor.
The scale factor is found by dividing the corresponding sides of the two triangles. In this case, the smallest side of the similar triangle is 1.4 inches, which corresponds to the side with a length of 4.2 inches in the given triangle.
Therefore, the scale factor is 1.4/4.2 = 1/3.
To find the lengths of the other two sides, we multiply the lengths of the sides of the given triangle by the scale factor.
Smallest side of the given triangle: 4.2 inches
Smallest side of similar triangle: 1.4 inches
Largest side of similar triangle = 4.2 inches * (1/3) = 1.4 inches
Middle side of similar triangle = 5.7 inches * (1/3) = 1.9 inches
The smaller length is 1.4 inches and the larger side length is 1.9 inches.