Question

Prove that the side opposite to 30° angle in a right-angled triangle is half of the hypotenuse​

Answer 1

Answer:

Property. The length of opposite side (perpendicular) equals to half of the length of hypotenuse when angle equals to degrees. ... So, remember that the length of opposite side is always equal to half of the length of the hypotenuse when the angle of right angled triangle is .

Answer 2

Answer: The side opposite to 30° angle in a right-angled triangle is half of the hypotenuse​.

Step-by-step explanation:

In a right angled triangle hypotenuse is the largest side.

The ratio between different sides depends on the angle formed by hypotenuse and other two sides.

sine of an angle is equal to the ratio between side opposite to the angle and the hypotenuse.

Therefore,

⇒  sin 30° = AB/AC

As sin 30° = 1/2 ,

⇒  1/2 = AB/AC

⇒  AB = AC/2

#SPJ2