0
What are the lengths of the base and the height of a triangle if its base is two feet less than its height and its area is 12 square feet?
Wiki User
∙ 16y ago
First, you need to know the formula for the area of a triangle: A = (1/2)bh, where b is the base and h is the height. Second, the word problem tells you something about the length of the base in terms of the length of the height. Since the base is two feet less than the height, we can write b = h - 2. Third, substitute: A = (1/2)bh = (1/2)(h-2)h = (1/2)h2 - h. Since the area is 12, we have 12 = (1/2)h2 - h. Fourth, rewrite the equation in standard form. (It's a quadratic equation.) Subtracting 12 from both sides of the equation, we get (1/2)h2 - h - 12 = 0, which is not quite there yet. Multiply both sides of the equation by 2 to get h2 - 2h - 24 = 0. Last, factor. You can easily factor that equation in your head; you need not use the quadratic formula. Here it is: (h-6)(h+4) = 0. So, you get h = 6, and h = -4. Since the length can't be negative, we discard the -4. We know, therefore, the height of the triangle is 6. Since b = a - 2, then b = 6 - 2 = 4.
Wiki User
∙ 16y ago
Add your answer:
Earn +20 pts
A square and a triangle have equal areas and a side of the square is 10 inches and the base of the triangle is 10 inches then what is the height of the triangle?
Area triangle = 1/2 base x height Area square = length x width = 10in x 10in = 100sq in. Area triangle = area square Therefore: 1/2 x 10in x height = 100sq in height = 100 sq in x 2 / 10 in = 20 in
What is the area of a triangle with a base of 15 inches and height of 4inches?
30 square inches. Area of triangle = (base x height) divided by 2.
How do you find the area of a triangle with side lengths?
If you are only given the side lengths of a scalene triangle, it is impossible for you to find for the area, unless you are given more information... like the height of the triangle for example. If this is a right triangle you would like to find the area of, you can multiply the length of each leg with each other, and then divide that product by 2 to conclude the area of the triangle.
What is the Surface area of isosceles triangle?
Ok to find the area of an isosceles triangle: Find the height first, to do this use this formula: Height = Square root ( one side square - half the base square) Now that you have the height you can calculate the area by the use of this formula: Area = (1/2)(base)(height) This will give you the surface area of an isosceles triangle. Lets do an example: You have a triangle that has two sides that measure 24 meters and a base of 20 meters. Using the formula above for height you will get a height of 21.8 meters Now use the formula above to find the area and it will give you an area of 218 meters square
What is the length of a triangle with an area of 18 square inches and a height of 12 inches?
The length of a triangle with a height of 12 inches and an area of 18 square inches is 3 inches, since area is 1/2 * base * height. Therefore, 2 * area divided by height = 2 * 18 /12 = 3
What is the area of a triangle that is 12 in and 16 in?
What is 12 in ? And what is 16 in ? ? Are they the lengths of two sides of the triangle ? Are they the length of one side and the height of the triangle ? The area of any triangle is 1/2 of the product of (length of its base) x (its height).
When can you use two side lengths to find the area of a triangle?
The area of any triangle is: 0.5*base*perpendicular height
The height of a triangle is three feet longer than the base The area of the triangle is 35 square feet Find the height andbase of the triangle?
the height of a triangle is three feet longer than the base. The area of the triangle is 35 square feet. Find the height andbase of the triangle
How do you get square feet into a triangle?
Square feet is a measure of area and does not have to be square. The area of a triangle is 0.5*base*height where the base and height are expressed in feet. (The height is the vertical distance from the apex t the base.)
How do you find the base and height of a triangle when you only have the area of the triangle?
If you only have the triangle's area, then you only know the product of (base times height) ... it's double the area ... but you can't tell what either of those individual lengths is.
What is the area of a triangle with a base of 7in and a height of 4in?
Area of a triangle = 1/2*base*height Area = 14 square inches
What is the area of a triangle with the heght of 5 and the base of 4?
A triangle is half a square The area of a square is height × width(base) So, the area of a triangle is height × base ÷ 2 5×4÷2 = 10
A square and a triangle have equal areas and a side of the square is 10 inches and the base of the triangle is 10 inches then what is the height of the triangle?
Area triangle = 1/2 base x height Area square = length x width = 10in x 10in = 100sq in. Area triangle = area square Therefore: 1/2 x 10in x height = 100sq in height = 100 sq in x 2 / 10 in = 20 in
If a square and a triangle have an area of sixty four square centimeters if the length of the triangle is the same as the length of a side of the square what is the height of the triangle?
You do not indicate if the given area is the total area of the square and the triangle. Or whether they are equal values.
What is the area of a square triangle which base is 32 and its height is 15?
area of any triangle is 1/2 x base x height.
What is the area of 60 and 40 yd in a triangle?
Area of a triangle in square units = 0.5*base*height
How do you find the area a triangle with perimeter of 72?
Area of a triangle in square units = 0.5*base*height
