Question

Refer to a triangle. Express the ratio of the height to the base in simplest form.

Short answer

The simplest form is$5:3$,.

Step-by-step solution

Step 1. Given information.

It is given,

Height of a triangle is,.$1m$ and,

Base of that triangle is,$0.6m$ .

Step 2. Concept used.

To write the algebraic fraction in simplest form,

Divide the numerator and denominator with the common term.

Step 3. Given ratio.

The ratio of the height to the base is,

$\frac{1}{0.6}=\frac{10}{6}$

Step 4. Divide the numerator and denominator by the common factor.

So, in simplest form,

$\begin{array}{c}\frac{10}{6}=\frac{10/2}{6/2}\\ =\frac{5}{3}\end{array}$

Therefore, the simplest form is$5:3$.