Answer
right triangle;
hypotenuse is $10$.
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 given sides are
$a=6,b=8$ and $c=10$
Substitute all the values into the formula above to obtain:.
$(10)^2=(6)^2+(8)^2$
$100=36+64$
$100=100$
Both sides are equal.
Hence, the triangle is a right triangle.
The hypotenuse is the longest side of a right triangle.
Hence, the hypotenuse is $10$.
