Question

Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x

Answer 1

x= 37

Explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

`hyp^2= opp^2+adj^2\\\\hpy=√(opp^2+adj^2)`

Substituting our given data and solving for hpy we have

`hyp=√(12^2+35^2) \\\\hyp=√(144+1225)\\\\hyp=√(1369)\\\\hyp= 37`

hence x= 37