Question

Must the slant height be greater than the altitude?

Answer 1

True, the hypotenuse will always be larger than the height

Answer 2

The slant height be must be greater than the altitude.

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.

`\text{Hypotenuse}^2=\text{Leg}^2+\text{Height}^2`

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