Question

Use the pic to solve the next 3 problems

7) What is the (a) measure of "b" and (b) what proportion may be written to solve for "b?
8) what is the (a) measure of “c” and (b) what proportion may be written to solve for “c”
9) what is the scale factor of the larger triangle to the smaller triangle? Give the answer in decimal form

Answer 1

7a: b = 12.5; 7b: 30/12 = b/5

8a: c = 32.5; 8b: 30/12 = c/13

9: 30:12 = 2.5

Explanation:

Given similar triangles with sides b, 30, and c corresponding to a smaller triangle with sides 5, 12, and 13, you want the measures of b and c, suitable proportions for finding them, and the scale factor of the larger to smaller triangle.

7. b

The value of b can be found from the proportion relating corresponding sides:

30/12 = b/5

b = 5·30/12 = 12.5

8. c

A suitable proportion for finding c is ...

30/12 = c/13

c = 13·30/12 = 32.5

9. scale factor

The ratio of larger to smaller side lengths is ...

30:12 = 2.5:1 = 2.5