Question

in triangle abc d and e mid points of ab and ac respectively. find the value of x if bc=x+9 and de= x+3​

Answer 1

Answer:Given :

D and E are the mid-points of AB and AC respectively.

∴ 2AD=AB and 2AE=AC ....... (1)

Area of a triangle =

2

1

​

× base × height

∴ Area of △ABC=

2

1

​

×AC×AB

Since ADE form a triangle,

∴ Area of △ADE=

2

1

​

×AE×AD

=

2

1

​

×

2

AC

​

×

2

AB

​

=

4

1

​

×

2

1

​

×AC×AB

=

4

1

​

(Area of △ABC)

Area of △ADE=

4

1

​

(Area of △ABC)

solution

Explanation: