Question

ABC triangle and G is centroid if their details in BC is equal to 8 cm,be=9find the perimeter of triangle bdg​and AD=12cm

Answer 1

$\textbf{Given:}$

$\text{In \triangle ABC, AD=12 cm, BC=8 cm, BG= 9 cm}$

$\text{We know that,}$

$\textbf{Centroid of triangle divides each median in the ratio 2:1}$

$\implies\text{AG= 8 cm and GD= 4 cm}$

$\text{Since D is the midpoint of BC, we have BD=DC=4 cm}$

$\text{Now sides of triangle BDG are}\\\\\text{BD=4 cm, GD=4cm, BG=9 cm}$

$\textbf{Perimeter of \triangle BDG}$

$=BD+GD+BG$

$=4+4+9$

$=17$

$\therefore\textbf{The perimeter of \triangle BDG is 17 cm}$

Find more:

1.AD=15 and DC=20. If BD is the bisector of angle ABC, what is the perimeter of the triangle ABC?

https://brainly.in/question/13161656

2.The perimeter of an isosceles right-angled triangle is 6(√2+1) cm . Find its area. Please solve it with explanation.

https://brainly.in/question/2120508

Answer 2

Answer:

\textbf{Given:}Given:

\text{In $\triangle$ABC, AD=12 cm, BC=8 cm, BG= 9 cm}In △ABC, AD=12 cm, BC=8 cm, BG= 9 cm

\text{We know that,}We know that,

\textbf{Centroid of triangle divides each median in the ratio 2:1}Centroid of triangle divides each median in the ratio 2:1

\implies\text{AG= 8 cm and GD= 4 cm}⟹AG= 8 cm and GD= 4 cm

\text{Since D is the midpoint of BC, we have BD=DC=4 cm}Since D is the midpoint of BC, we have BD=DC=4 cm

\begin{lgathered}\text{Now sides of triangle BDG are}\\\\\text{BD=4 cm, GD=4cm, BG=9 cm}\end{lgathered}Now sides of triangle BDG areBD=4 cm, GD=4cm, BG=9 cm

\textbf{Perimeter of $\triangle$BDG}Perimeter of △BDG

=BD+GD+BG=BD+GD+BG

=4+4+9=4+4+9

=17=17

\therefore\textbf{The perimeter of $\triangle$BDG is 17 cm}∴The perimeter of △BDG is 17 cm

Find more:

1.AD=15 and DC=20. If BD is the bisector of angle ABC, what is the perimeter of the triangle ABC?

https://brainly.in/question/13161656

2.The perimeter of an isosceles right-angled triangle is 6(√2+1) cm . Find its area. Please solve it with explanation.