In a right-angled triangle, the hypotenuse is 6 and an acute angle of 60 ° find the perimeter and area of the triangle.

Let’s calculate what each of the legs of this right-angled triangle will equal if we know that sin 60 ° is equal to √3 / 2, and cos 60 ° is 1/2:

6 * 1/2 = 3.

6 * √3 / 2 = 3√3.

Let’s calculate what the value of the perimeter of this right triangle will be:

6 + 3 + 3√3 = 9 + 3√3.

Let’s calculate what the value of the area of the specified right-angled triangle will equal:

3 * 3√3 * 1/2 = 9√3 / 2.

Answer: The perimeter of the triangle is 9 + 3√3 centimeters, and the area is 9√3 / 2 cm2.