Question

The longer leg of 30°-60°-90° triangle is 16√3. how long is the shorter leg?

Answer 1

Answer:

The length of longer leg is 16 units

Step-by-step explanation:

Given the longer leg of 30°-60°-90° triangle

we have to find the length of shorter leg.

$\text{Length of longer leg=AB=}16\sqrt3$

we have to find the length of BC i.e the shorter leg as side opposite to smaller angle is shortest.

By trigonometric ratios

$\tan 60^{\circ}=\frac{AB}{BC}$

$\sqrt3=\frac{16\sqrt3}{BC}$

$BC=\frac{16\sqrt3}{\sqrt3}=16units$

Hence, the length of longer leg is 16 units

Answer 2

Length of the shortest leg is 8 \sqrt{3} units