One of the corners of a right-angled triangle is 60 ° and the sum of the hypotinus and the smaller

One of the corners of a right-angled triangle is 60 ° and the sum of the hypotinus and the smaller leg is 18 cm find the hypothesis and the smaller leg.

Since the sum of the angles in the triangle = 180, we understand that the remaining angle is 30 degrees.

In a right-angled triangle, the leg opposite an angle of 30 degrees is equal to half the hypotenuse. Using the theorem, we compose an equation.

Take the small leg for X, so the hypotenuse is 2X.

From the condition of the problem it follows: X + 2X = 18 cm.

We solve the equation: 3X = 18 cm. X = 6 cm. This is how we found the small leg.

Hypotenuse = 2X

2 * 6 = 12 cm.

Answer: Leg = 6 cm, Hypotenuse = 12 cm.