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?
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Let's say the height of the triangle is "h" cm.
According to the given information, the base of the triangle is 3 cm greater than 5 times its height.
So the base of the triangle would be (5h + 3) cm.
The formula to find the area of a triangle is A = 1/2 × base × height.
Substituting the given values, the area of the triangle would be:
A = 1/2 × (5h + 3) × 6
Simplifying the expression:
A = 1/2 × (30h + 18)
A = 15h + 9
Now, substituting the height value of 6 cm:
A = 15(6) + 9
A = 90 + 9
A = 99
Therefore, when the height of the triangle is 6 cm, the area of the triangle is 99 square cm.