Find the unknown side length. simplify answers that are radicals . tell whether the side lengths form a Pythagorean triple

Question

asked Oct 9, 2019 230k views

1 Answer

MojoTosh · Answer 1 · 2019-10-14T06:52:02+0000

We use the Pythagorean Theorem to answer this:
a²+b²=c²
In our case,

(√(7))^2+b^2=(√(19))^2

Subtract 7 from each side:

$7+b^2-7=19-7 \\b^2=12$
Take the square root of both sides:

√(b^2)=√(12)=√(4*3)=2√(3)

Although these numbers work in the Pythagorean theorem, they are not Pythagorean triples, as they are not integers.