Answer :

Given,

By Sine Law,

By Cosine law,

As it given

So,

For the above Equation to be true,

(c^{2} -a^{2} )(sin (C) )^{2} =0

So

(c^{2} -a^{2} )=0

c=a

Hence Proved.

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In a ΔABC, if prove that the triangle is isosceles.

RD Sharma - MathematicsFor any Δ ABC show that –

= (a+b+c)^{2}

Two ships leave a port at the same time. One goes 24 km/hr in the direction N 38^{o} E and other travels 32 km/hr in the direction S 52^{o} E. Find the distance between the ships at the end of 3 hrs.

In a Δ ABC cos^{2}A + cos^{2} B + cos^{2} C = 1, prove that the triangle is right angled.

In any Δ ABC, then prove that

RD Sharma - MathematicsIn a Δ ABC cos^{2}A + cos^{2} B + cos^{2} C = 1, prove that the triangle is right angled.

Two ships leave a port at the same time. One goes 24 km/hr in the direction N 38^{o} E and other travels 32 km/hr in the direction S 52^{o} E. Find the distance between the ships at the end of 3 hrs.

In any Δ ABC, then prove that

RD Sharma - MathematicsFor any Δ ABC show that -

RD Sharma - MathematicsFor any Δ ABC show that -

RD Sharma - Mathematics