In a right-angled triangle, the length of one leg is 6 cm What should be the length

In a right-angled triangle, the length of one leg is 6 cm What should be the length of the other leg so that the area of the triangle is 8 cm2.

By the condition of the problem, a right-angled triangle is given.

It is known that the length of one of the legs of this triangle is 6 cm.

Since the triangle is rectangular, its second leg will be the height.

Using the formula for calculating the area of a triangle, we derive a formula for calculating its height.

S = 1/2 * a * h.

h = (S * 2) / a.

Let’s calculate the length of the second leg if the area of the triangle is 8 cm².

h = (8 * 2) / 6 = 16/6 = 2 2/3 cm.

Answer: the second leg has a length equal to 2 2/3 cm.