Question

In a AABC, if AB = 63 cm, BC = 6cm and AC = 12 cm, then 2B is
a. 120°
b. 90°
C. 60°
d. 45°​

Answer 1

ANSWER

Given:

In △ABC

AB=6    cm

AC=12cm

BC=6cm

Solution:

=144

=108

=36

Since,

=+

∴ By Converse of Pythagoras Theorem,

△ABC is an Right Angle Triangle at B.

∴∠B=90  

Option B is correct

Answer 2

Step-by-step explanation:

$\huge\fcolorbox{blue}{green}{Given}$

• AB = 63cm

• BC = 6cm

• AC = 12cm

$\huge\fcolorbox{blue}{green}{Solution}$

AC^2 = 144

AB^2 = 108

BC^2 = 36

SINCE :

• AC^2 = AB^2 + BC^2

• By Converse of Pythagoras Theorem

• △ABC is an Right Angle Triangle at B.

• ∠B = 90°