Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

See attachment...


Question 9 of 10
What is the value of m in the figure below? In this diagram, AABD ~ ABCD.
14
D
5
B
M
C
A. √70
B. 221
√95
D. √48
E. √323
F. √650

See Attachment Question 9 Of 10 What Is The Value Of M In The Figure Below In This Diagram AABD ABCD 14 D 5 B M C A 70 B 221 95 D 48 E 323 F 650 class=

Sagot :

sqdancefan

Answer:

  C.  √95

Step-by-step explanation:

You want the length of the segment marked m in the right triangle figure shown.

Similar triangles

All of the right triangles in this figure are similar by the AA postulate. That means the ratios of short side to hypotenuse are the same for the largest and smallest triangles:

  [tex]\dfrac{\text{short side}}{\text{hypotenuse}}=\dfrac{m}{5+14}=\dfrac{5}{m}\\\\m^2=5\cdot19\\\\\boxed{m=\sqrt{95}}\qquad\text{matches choice C}[/tex]

__

Additional comment

For the purpose here, we don't care about ∆ABD. We are only concerned with ∆ABC and ∆BDC.

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.