A small triangle has the numbers of 7,5 and 8

A larger triangle numbers are 14 and is missing two numbers.

Find scale factor and length of other triangle.

1 answer

To find the scale factor between the small triangle and the larger triangle, we can divide one corresponding side of the larger triangle by its corresponding side in the smaller triangle. Let's consider the sides of the triangle with lengths 14 and 7.

The scale factor is given by:
scale factor = length of larger triangle / length of smaller triangle
scale factor = 14 / 7
scale factor = 2

This means that the sides of the larger triangle are twice as long as the corresponding sides of the smaller triangle.

To find the lengths of the missing sides in the larger triangle, we can multiply the lengths of the corresponding sides in the smaller triangle by the scale factor.

The missing side with length 5 in the small triangle will have a length of 5 * 2 = 10 in the larger triangle.

The missing side with length 8 in the small triangle will have a length of 8 * 2 = 16 in the larger triangle.

Therefore, the lengths of the missing sides in the larger triangle are 10 and 16.