Application of the Pythagorean Theorem Using the Cosine Law

Problem-solving
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Pythagorean Theorem is a formula that helps calculate the sides of a triangle. However, the same outcome can be achieved using other formulas, such as the Law of Cosines. The law of cosines is relevant in trigonometry, also known as the cosine rule or al-Kashi's Theorem. It relates the sides of a triangle to the cosine of one of the angles.
β,γ, and α denote the angles opposite the sides of a triangle; therefore, the formula is modified depending on the angles available.
The triangle provided has sides measuring 3cm and 4cm with an angle of 90°.
c2 = a2 + b2 -2abcosc γ
c2 = 32 + 42 – 2 x 3 x 4 cosc90
c2 = 32 + 42 – 2 x 3 x 4 x 0
c2 = 32 + 42
= 5 cm
If the triangle is right-sided, the cosine rule is reduced to the Pythagorea...