Question

If the hypotenuse of a 30°-60°-90° triangle is 150 centimeters long, what is the measure of the shorter leg of the triangle to the nearest tenth?

Answer 1

Shorter leg is `150/2=75` `cm` long.

Explanation:

Shorter leg of a `30^@-60^@-90^@` triangle is always half of its hypotenuse, as one can see that if the triangle is reflected across its longer leg (not the hypotenuse), it forms an equilateral triangle.

As hypotenuse is `150` `cm` long,

Shorter leg is `150/2=75` `cm` long.