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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