Answer
right triangle;
hypotenuse $=5$.
Work Step by Step
The triangle is right if its sidelengths satisfy the Pythagorean Theorem.formula $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse (longeset side).
The lengthsThe given sides are
$a=3,b=4$ and $c=5$
Substitute all the values into the formula above to obtain:.
$(5)^2=(3)^2+(4)^2$
$25=9+16$
$25=25$
Both sides are equal.
Hence, the triangle is right.
The hypotenuse is the longest side of a right triangle.
Hence, the hypotenuse is $5$.
