Question

In Triangle ABC, AB= 6 √3cm, AC=12 CM and
.
and BC = 6cm. the angle B is.​

Answer 1

Answer:

Let us check whether it is a right angle triangle

To prove any triangle to be the right triangle .

We use Pythagoras theorem

(Hypotenuse)²=(Height)²+(Base)²

Here,hypotenuse is the longest side i,e.AC=12cm

L.H.S

(Hypotenuse)²

=12²

=144

R.H.S

(Base)²+(height)²

=(6√3)²+(6)²

=(6×6×√3√×√3)+(6×6)

=(36×3)+(36)=144

since LHS=RHS,

Pythagoras theorem is satisfied

Hence triangle ABC is a  right angled triangle

with hypotenuse =AC=12cm

so,angle opposite to hypotenuse will be 90°

Hence .angle B=90°