Write as a Vector Equality b=36 , a=3yd , c=6yd

Problem

b=36,a=3* yd,c=6* yd

Solution

1. Identify the relationship between the variables. In a right triangle, the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

2. Check the values to see if they satisfy the Pythagorean theorem. We have a=3 c=6 and b=36

3. Calculate the squares of the sides: a2=3=9 and c2=6=36

4. Observe that b is equal to the square of side c which means b=c2

5. Express the relationship as a vector equality. In vector notation, the square of the magnitude of a vector c is represented by the dot product of the vector with itself.

Final Answer

b=c⋅c

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