Question

Angle ABC = 60° , Find x​

Answer 1

|| ✰✰ ANSWER ✰✰ ||

→ ∠AOC = 90- (60/2) = 90 - 30 = 60°

Than in ∆AOC,

AO = OC = Radius .

So,

→ ∠x = (180°-60)/2 = 60° (Ans).

✪✪ Hence Proved ✪✪

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Answer 2

Answer:

In △ABC,

AB=AC=x and BC=10 cm

Draw a perpendicular from A on BC such that AD⊥BC

In an Isosceles triangle a perpendicular bisects the non- congruent side.

Hence, BD=

2

1

(10)=5 cm

In △ADB,

AB

2

=AD

2

+BD

2

x

2

=AD

2

+5

2

AD=

x

2

−25

Area of triangle =

2

1

AD×BC

60=

2

1

(

x

2

−25

)(10)

12=

x

2

−25

144=x

2

−25

x

2

=169

x=13 cm