Question

ABC is a equilateral triangle,AD is a median,G is centroid of this triangle and if GD=10 CM, then find the value of GB. Explain with answer.

Answer 1

Answer:

10 cm

Step-by-step explanation:

Equilateral angles all the maiden are equal

GD=10

AD=10×2=20

SO,GB=20÷2=10

Answer 2

Answer:

centroid is the point where three median are meet

Step-by-step explanation:

2DG=AG

DG=10

AG=20

Let sides of Triangle 2a

In Triangle ABD AND ADC

AB=AC

BD=DC

AD (COMMON)

Triangle ABD is congruent to ADC

Angle ADC=90

THEREFOR AD is the hight of Triangle

H=√3*a/2

30=√3*2a/2

a=10√3

In triangleGBD

BD²+GD²=GB²

(10√3)²+10²=GB²

GB=√400

GB=20