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What is the maximum area of a triangle having 15 cm as the sum of its base and height?
Let b = x, so h = 15 - x.
A = (bh)/2
A(x) = [x(15 - x)]/2
A(x) = -(1/2)x2 + (15/2)x
since the coefficient of x2 is negative, we have a maximum value of the area when x = (-15/2)/[2(-1/2) = 15/2
A(15/2) = -(1/2)(15/2)2 + (15/2)(15/2)] = -225/8 + 225/4 = (-225 + 500)/8 = 225/8
Thus, the maximum area of the given triangle would be 225/8 cm2.
What else can I help you with?
How is the area triangle related to the area of a rectangle?
two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.
How do you get the base of a triangle when you have the height and area?
Area of a triangle = base * height / 2 Therefore the base = Area * 2 / height
The base of a triangle is 8 cm. the triangle has a area of 28cm2 the height of the triangle is cm?
Area of Triangle = 1/2 base x height 28 = 4 x height height = 7 cms
What can be said about the base and height of a triangle?
That the area of a triangle = 0.5*base*height
What is the area of a right angle triangle having a base dimension of 3 feet and height of 4 feet?
Area of triangle: 0.5*3*4 = 6 square feet
How is the area triangle related to the area of a rectangle?
two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.
How do you get the base of a triangle when you have the height and area?
Area of a triangle = base * height / 2 Therefore the base = Area * 2 / height
Formua for area of a triangle?
Area of a triangle: 0.5*base*perpendicular height
How is the base height and area of a triangle related?
Because the area of a triangle = 0.5*base*height
What is the area of a triangle with the base of 10 and the height of 12?
The area of triangle is : 60.0
How are the formulas for area of a triangle and rectangle similar?
the area of a triangle is half of the base times the height the area of a triangle is half of the base times the height
What is the formula for area for a triangular prism without the height?
It is impossible to find the area of a triangle with no height, if the triangle had no height it would not even be a triangle, just a angle.
How can you find the height of a triangle if you have base and area?
The relation between the height of a triangle, its base and its area is given by: Area = 0.5 * Base * Height Therefore, we have: Height = (2 * Area)/ Base.
The base of a triangle is 8 cm. the triangle has a area of 28cm2 the height of the triangle is cm?
Area of Triangle = 1/2 base x height 28 = 4 x height height = 7 cms
What isThe area of a triangle 4 by 7?
The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.The area of a triangle is (1/2) base times height; the height must be perpendicular to the base.
What is the area of a triangle having a base of 10cm and a height of 5cm?
To work out the area of a triangle do 1/2 x base x height. So its 1/2 x 10 x 5 = 25cm squared :)
What can be said about the base and height of a triangle?
That the area of a triangle = 0.5*base*height
