The area of a right-angled triangle is 9 cm². One of the sides of the triangle forming

The area of a right-angled triangle is 9 cm². One of the sides of the triangle forming a right angle is 6 cm. Find the other side that makes a right angle.

The area of a right-angled triangle is half the area of a rectangle;

If the area of a right-angled triangle is 9 cm², then the area of the rectangle is 18 cm²;

Let us express the unknown sought-for side of the triangle in terms of x and compose the equation for the area of the rectangle:

6x = 18;

x = 18/6 = 3 cm – unknown side of the triangle.