A triangle has a base 3 cm greater than 5 times its height. What is the area of the triangle when its height is 6 cm?
(1 point)
Responses
115 square cm
60 square cm
33 square cm
99 square cm
Let's start by determining the base of the triangle. We are given that the base is 3 cm greater than 5 times its height. If the height is 6 cm, then 5 times the height would be 5 * 6 = 30 cm. Adding 3 cm to this gives us a base of 30 + 3 = 33 cm.
To find the area of the triangle, we can use the formula: A = (1/2) * base * height. Plugging in the values, we get: A = (1/2) * 33 cm * 6 cm = 99 square cm.
Therefore, the correct answer is 99 square cm.
To find the area of a triangle, we use the formula: Area = (1/2) * base * height.
Given that the base of the triangle is 3 cm greater than 5 times its height, we can write the equation as:
base = 5h + 3.
Substituting the given height of 6 cm into the equation, we get:
base = 5(6) + 3
= 30 + 3
= 33 cm.
Now, we can calculate the area using the formula:
Area = (1/2) * base * height
= (1/2) * 33 * 6
= 16.5 * 6
= 99 square cm.
Therefore, the area of the triangle when its height is 6 cm is 99 square cm.