In a right triangle find the length of the side not given.

b = 1 and c = √5 and a = ?

b = 1 and c = √5 and a = ?

Pythagorean Theorem is a^2 + b^2 = c^2

- the sum of the squares of the legs is equal to the square of the hypotenuse

b = 1, c = √5, a = ?

a^2 + (1)^2 = (√5)^2 {substituted into the pythagorean theorem}

a^2 + 1 = 5 {squared 1 and squared √5}

a^2 = 4 {subtracted 1 from both sides}

a = 2 {took the square root of both sides, accepting only positive √4, since it is a measurement)

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