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Find the values of x and y using the given​ chord, secant, and tangent lengths.

Find the values of x and y using the given​ chord, secant, and tangent lengths.-example-1
User Shyamal
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1 Answer

3 votes

Answer:

x = 15.65

y = 3.5

Explanation:

Step 1

Find the equation for x and y

Equation for x is given as

x² = 7( 7+28) ..........Equation 1

14(14 + y) = x²........ Equation 2

Solving for Equation 1

x² = 7( 7+28)

x² = 7(35)

x² = 245

x = √245

x = 15.65

From Equation 1 , x² has been determined to be 245

Therefore we substitute 245 for y in Equation 2

14(14 + y) = x²........ Equation 2

14(14 + y) = 245

196 + 14y = 245

14y = 245 - 196

14y = 49

y = 49 ÷ 14

y = 3.5

User Diogenes
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