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Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=6 and EB=8 , solve for EA.

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=6 and-example-1

1 Answer

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Answer: The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet

Explanation:

Application of pythagoras theorem

The theorem states that the square of the hypotenuse is equal to the square of the other two sides

From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle

Given the following

Hypotenuse = 26 feet = CD

Base side = AD = 14ft

Required

Length AC

Use the theorem

26^2 = 14^2 + AC^2

AC^2 = 676 - 196

AC^2 = 480

AC = 21.9feet

Hence the length of AC is 21.9feet

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