The Pythagorean Theorem, c2 = a2 + b2, can be used to find a missing side of a right triangle. If c = 14 and a = 10, which equation can be used to solve for b? A)

196 = 100 + b2

B)

c2 = 100 + 196

Eliminate

C)

100 = a2 + b2

D)

196 = a2 + 102

A) 196 = 100 + b ²

Step-by-step explanation:

Using the pythagoras theorm;

c² = a² + b²

c = 14 a = 10

substituting the value into the above formula;

14² = 10² + b²

196 = 100 + b²

subtract 100 from both-side of the equation

196 - 100 = b²

96 = b²

Take the square root of both-side of the equation to get the value of b

√96 = √b²

9.78 = b

b≈9.8

Therefore usikng the pythagoras theorm to find the missing side, the equation that can be used to solve for b is 196 = 100 + b ²

a

Step-by-step explanation:

14 squared = 196

10 squared = 100

b is unknown

100+b^2=196

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