a triangle has a base 3cm greater than 5x its height. what is the area of the triangle when its height h is 6cm
Let the height of the triangle be h.
According to the given conditions, the base of the triangle is 5xh + 3cm.
When the height is h = 6cm, the base is:
5xh + 3 = 5(6) + 3 = 30 + 3 = 33cm.
The area of a triangle is given by the formula: Area = (1/2) * base * height.
Substituting the values:
Area = (1/2) * 33cm * 6cm = 99 cm².
Therefore, the area of the triangle when its height h is 6cm is 99 cm².