# In a 30-60-90 triangle, the shorter leg has length of

In a 30-60-90 triangle, the shorter leg has length of $$\displaystyle{8}\sqrt{{{3}}}$$ m. What is the length of the other leg and the hypotenuse?

• Questions are typically answered in as fast as 30 minutes

### Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

usaho4w
Let the shortest length is represented by the variable a. The other lengths are multiples of a.
If $$\displaystyle{a}={8}\sqrt{{{3}}}$$
$$\displaystyle{a}\sqrt{{{3}}}={\left({8}\sqrt{{{3}}}\right)}\sqrt{{{3}}}={24}$$
$$\displaystyle{2}{a}={2}{\left({8}\sqrt{{{3}}}\right)}={16}\sqrt{{{3}}}$$
Therefore, the height - $$\displaystyle{24}$$, hypotenuse - $$\displaystyle{16}\sqrt{{{3}}}$$
###### Not exactly what you’re looking for?
kalupunangh

$$\displaystyle{H}{e}{i}{g}{h}{t}={24}$$
$$\displaystyle{H}{y}{p}{o}{t}{e}nu{s}{e}={16}\sqrt{{{3}}}$$