Question

3 units

V13 units
2 units
In this right triangle, the length of the hypotenuse, BC, is units:

Answer 1

`\large\boxed{BC=√(13)}`

Explanation:

`\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\\\\a^2+b^2=c^2.\\\\\text{We have:}\ 2<3<√(13)\\\\\text{Substitute:}\\\\2^2+3^2=(√(13))^2\qquad\text{use}\ (√(a))^2=a\\4+9=13\\13=13\qquad\bold{CORRECT}\\\\\text{The hypotenuse is the longest side of a right triangle.}\\\text{Therefore}\ BC=√(13)`