<h3>Question :</h3>
Law of Cosines by ∆ ABC
<h3>Answer :</h3>
<u>Law of Cosines by ∆ </u><u>ABC:</u>
<em>Let three side be</em> :
<em>Formula</em>:
- a² = b² + c² – 2bc (cos A)
- b² = a² + c² – 2ac (cos B)
- c² = b² + a² – 2ba (cos C)
<em>Also </em><em>known</em><em> </em><em>as </em><em>:</em>
Law of Cosines by ∆ ABC is also known as :
<em>Define</em><em> </em><em>:</em>
The law of cosines states that if any two sides(i.e a , b , or c) of a triangle and angle formed between them ( i.e ∠A , ∠B or ∠C) are give then we are able to find third side.
(side 1)² = (side 2)² + (side 3)² - 2 side 1 × side 2 (cos angle formed between side 2 and side 3)
<h3>Question :</h3>
Law of Sines by ∆ ABC
<h3>Answer :</h3>
<u>Law of sines by ∆ ABC:</u>
<em>Let three side be :</em>
<em>Formula</em><em> </em><em>:</em>
<em>Define</em><em> </em><em>:</em>
It is ratio between side of triangle (i.e a , b , c) and sin of angle formed (angle A , angle B or angle C) opposite to it. Above formula you can see side a is side angle and opposite angle sin i.e A are in ratio and they are equal to ratio of side b and sin of opposite angle to b i.e angle B.
<em>Correct</em><em> </em><em>Question</em><em> </em><em>:</em>
Explain SSA
<em>Full </em><em>form</em>
S - Side
S - Side
A - Angle
<em>Define :</em>
This condition is seen when two triangles are congruent , when two sides are equal and angle which is not formed between them are equal.
<em>Congruent</em><em> </em><em>triangles</em><em> </em><em>:</em>
Congruent triangles are those triangles that have exact shape and size.
<em>Conditions </em><em>for </em><em>congruent</em><em> </em><em>triangles</em><em> </em><em>:</em>
Side - angle - side
angel - side - angle
side side angle
side side side