Given the triangle below, which of the following equations correctly representsthe relationship between a, b, and c?Triangle not drawn to scale A cz B az 2abcos (90.)b a2 c2 2abcos (90.)
![Given the triangle below which of the following equations correctly representsthe relationship between a b and cTriangle not drawn to scale A cz B az 2abcos 90b class=](https://us-static.z-dn.net/files/d2a/8ab25e5f5308ca076c100ce6e3b3d3e1.png)
The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)
An equation is an expression that shows the relationship between two or more numbers and variables.
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
c² = a² + b² - 2ab*cosC
Where a, b and c are the sides, while C is the angle opposite to side c.
In the triangle ABC, C = 90°, hence:
c² = a² + b² - 2ab * cos(90)
The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)
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