Question

In figure given below triangle ABC is isosceles with AB=AC=5cm and BC =6cm. Find

Answer 1

Let GD=x

so that AG=2x

∴AD=x+2x=3x

Since is a median, therefore

BD=

2

1

×BC=

2

1

×6=3

From right angled ΔABCAB

2

=BD

2

+AD

2

or 5

2

=3

2

+(3x)

2

or 25+9+9x

2

or 9x

2

=16

or x

2

=

9

16

or x=

3

4

HEnce, AG=2x

=2×

3

4

=

3

8

Answer 2

Step-by-step explanation:

$angle \: a = {180}^{0} - 2 \times angle \: b \\ angle \: b = ({180}^{0} - angle \: a) \div 2$