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3 years ago

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

Mathematics

2 answers:

tekilochka [14]3 years ago

8 0

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

sertanlavr [38]3 years ago

3 0

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

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