strawberrycowbee31
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Please I need help with these, use the picture to answer the questions below


Each dashed line segment is a(n)?


There are _____ congruent triangles in a regular hexagon.


Find the perimeter.


Find the radius of this hexagon.

Please I Need Help With These Use The Picture To Answer The Questions Below Each Dashed Line Segment Is An There Are Congruent Triangles In A Regular Hexagon Fi class=

Sagot :

semsee45

Answer:

There are 6 congruent triangles in a regular hexagon.

The triangles are equilateral (all sides are equal in length).

Using side length of equilateral triangle formula:

[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]

where x is the side length and h is the height

[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]

[tex]\sf \implies x=\sqrt{48}[/tex]

[tex]\sf \implies x=4\sqrt{3} \ units[/tex]

Therefore, perimeter = 6 × 4√3 = 24√3 units

Radius = side length of triangle = 4√3 units
  • 6 congruent traingles

Side Be a

[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]

[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]

Perimeter:-

  • 4(4√3)=16√3units
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.