Question

In,∆ABC, AB =6√3cm,AC=12cm,BC=6cm.Find the measure of angle C​

Answer 1

QUESTION :-

In △ABC,AB=6√3 cm,AC=12cm and BC=6cm. Find The ∠B is

Given:

In △ABC

AB=6√3cm

AC=12cm

BC=6cm

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°

Answer 2

Given:In △ABC

AB=6 √3 cm

AC=12cm

BC=6cm

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°

Explanation:

Hope it will help you!!!