Question

In the 30-60-90 triangle below, side s has a length of Blank and the hypotenuse has a length of blank?

Answer 1

Answer:

The length of  bank side ,s = $\sqrt{3}$ unit.

The length of hypotenuse, h= 2 unit.

Step-by-step explanation:

Given in 30-69-90 triangle

We know that

$tan\theta= \frac {perpendicular}{base}$

$sin\theta=\frac { perpendicular}{ hypotenuse}$

When$\theta=30^{\circ}$

$sin\theta= \frac{1}{h}$

$sin30^{\circ}=\frac {1}{h}$

$sin30^{\circ}=\frac{1}{2}$

Therefore,$\frac{1}{h} =\frac{1}{2}$

By cross multiply we get

h=2

$tan30^{\circ}=\frac{1}{s}$

$tan30^{\circ}=\frac {1}{\sqrt{3}}$

$\frac{1}{s} =\frac{1}{\sqrt{3}}$

By cross multiply we get

s=$\sqrt{3}$

Hence, the length of side of bank, s=$\sqrt{3}$ unit

Length of hypotenuse ,h=2 unit.

Answer 2

the answer is D

$\sqrt{3} \: and \: 2$