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

Question

asked Sep 1, 2018 226k views

2 Answers

Kolaworld · Answer 1 · 2018-09-06T06:15:38+0000

Answer:

The length of longer leg is 16 units

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

$\tan 60^(\circ)=(AB)/(BC)$

$\sqrt3=(16\sqrt3)/(BC)$

$BC=(16\sqrt3)/(\sqrt3)=16units$

Hence, the length of longer leg is 16 units