Respuesta :

True, the hypotenuse will always be larger than the height

Answer:

The slant height be must be greater than the altitude.

Step-by-step explanation:

We have been given a statement and we are supposed to justify our give statement.  

Altitude of a triangle is a line segment through a vertex and perpendicular to the line containing the base, that is the side opposite the vertex.

Since we know that slant height means hypotenuse of a right triangle.

[tex]\text{Hypotenuse}^2=\text{Leg}^2+\text{Height}^2[/tex]

Since hypotenuse is always greater than height of a right triangle, therefore, our given statement is true.