Question

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.

Answer 1

`Ratio = (7)/(9)`

Explanation:

Given

Triangle 1:

Sides = 14 ; 21

Triangle 2:

Sides = 18; 27

Required

Determine the ratio of the corresponding sides

The ratio is calculated by dividing the corresponding sides of both triangles

`Ratio = (Triangle\ 1)/(Triangle\ 2)`

Taking corresponding sides: 14, for triangle 1 and 18 for triangle 2

`Ratio = (14)/(18)`

Divide the numerator and denominator by 2

`Ratio = (7)/(9)`

Taking corresponding sides: 21, for triangle 1 and 27 for triangle 2

`Ratio = (21)/(27)`

Divide the numerator and denominator by 3

`Ratio = (7)/(9)`

Notice that both ratio are the same;

Hence;

The ratio of both triangles is

`Ratio = (7)/(9)`