Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units, and

Question

3 years ago

14

Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units, and

the length of AB is 4 units. D is a point above C. Triangle ADC is a right triangle with angle DAC equal to 90 degrees and DC parallel to AB. What is the length, in units, of segment CD? 5.50 12.25 8 14

Mathematics

1 answer:

Studentka2010 [4] · Answer 1 · 2022-09-03T15:10:22+03:00

Answer: 12.25

Step-by-step explanation:

Given the following details :

DAC = 90° and ABC = 90° = right angled

Segment AB is Parallel to segment DC

FROM THE DETAILS ;

Triangle ABC and ACD are similar triangles.

Length AC = 7 Units

Length AB = 4 Units

For similar triangles :

Segment CD /AC = Segment AC / AB

CD / 7 = 7 / 4

Cross multiply

CD × 4 = 7 × 7

CD × 4 = 49

CD = 49 / 4

CD = 12.25 Units