Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.