In the triangle below, what is the length of the side opposite the 30 degree angle

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

Answer:

The correct answer is option A. √3

Step-by-step explanation:

From the figure we can see that aright angled triangle.

Points to remember

If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2

To find the length of side opposite to 30°

Let 'x' be the side opposite to the 30°, the we can write,

x : 3 : Hypotenuse = 1 : √3 : 2

Therefore x = 3/√3 = √3

The length of side opposite to the 30° is √3

The correct answer is option A. √3

You might be interested in

Please simplify the answer!

frutty [35]

Answer:

y = 9

Step-by-step explanation:

Given

4 + $\frac{y}{3}$ = 7

Isolate the term in y by subtracting 4 from both sides

$\frac{y}{3}$ = 3 ( multiply both sides by 3 )

y = 3 × 3 = 9

7 0

4 years ago

HELP PLEASE AND THANK YOU 1JAAB

Dafna1 [17]

Answer:

$\bold{Q1}\ side\ BD\\\\\bold{Q2}\ \angle5\ \leftrightarrow\ \angle6\\\\\bold{Q3}\ \triangle TAP\\\\\bold{Q4}\ \triangle APT$

Step-by-step explanation:

For Q1 and Q2

$\text{If}\ AB\cong AC,\ BD\cong CD,\ RSTU\ \text{is a parallelogram (rectangle)},\ \text{then}\\\\\angle 1\ \leftrightarrow\ \angle2\\\angle3\ \leftrightarrow\ \angle4\\\angle C\leftrightarrow\ \angle B\\\angle 5\ \leftrightarrow\ \angle6\\\angle7\ \leftrightarrow\ \angle 8\\\angle R\ \leftrightarrow\ \angle T\\\angle S\ \leftrightarrow\ \angle U$

$\overline{AB}\ \leftrightarrow\ \overline{AC}\\\overline{BD}\ \leftrightarrow\ \overline{CD}\\\\\overline{RS}\ \leftrightarrow\ \overline{TU}\\\overline{ST}\ \leftrightarrow\ \overline{UR}$