Chapter SH, Problem 6.7.4EP

To determine

To calculate:To find the missing measure in the below similar figure:

Answer to Problem 6.7.4EP

The missing measure in the similar triangle is $6\frac{2}{3}$$in$ .

Explanation of Solution

Given information:

Given Similar figures are −

Formula Used:

If the triangles are similar, then the ratio of sides are equaland also the corresponding angles are equal.

Calculation:

Given Similar figures are −

Since, the triangles are similar, the ratio of sides of the triangles are equal:

  $\frac{GL}{JL}=\frac{HL}{KL}=\frac{GH}{JK}$

Thus, replacing the values, we have:

  $\frac{10}{18}=\frac{x}{12}$

Solving the above equation, we have:

  $x=6.67$

Conclusion:

Thus, the missing measure in the similar triangle is $6\frac{2}{3}$$in$ .