Triangles Maths - Triangles

• A
  $30^\circ $
   
• B
  $45^\circ$
   
• C
  $60^\circ$
   
• ✓
  $90^\circ$

Answer: D.

In an equilateral triangle $ABC,$ if $\text{AD}\perp\text{BC}$ then which of the following is true?

• A
  $ 2 A B^2 =3 A D^2 $
   
• B
  $ 4 A B^2 =3 A D^2$
   
• ✓
  $ 3 A B^2 =4 A D^2 $
   
• D
  $ 3 A B^2 =2 A D^2 $

Answer: C.

In $\triangle\text{ABC},\text{DE }||\text{ BC}$ such that $\frac{\text{AD}}{\text{DB}}=\frac{3}{5}.$ $AC = 5.6cm$ then $AE =?$

• A
  $4.2cm$
• B
  $3.1cm$
• C
  $2.8cm$
• ✓
  $2.1cm$

Answer: D.

In a $\triangle\text{ABC},$ it is given that $AD$ is the internal bisector of $\angle\text{A}.$ If $AB = 10cm, AC = 14cm$ and $BC = 6cm,$ then $CD = ?$

• A
  $4.8cm$
• ✓
  $3.5cm$
• C
  $7cm$
• D
  $10.5cm$

Answer: B.

In a $\triangle\text{ABC},$ if $DE$ is drawn parallel to $BC,$ cutting $AB$ and $AC$ at $D$ and $E$ respectively such that $AB = 7.2cm, AC = 6.4cm$ and $AD = 4.5cm$. Then, $AE =?$

• A
  $5.4cm$
• ✓
  $4cm$
• C
  $3.6cm$
• D
  $3.2cm$

Answer: B.