0
The base of a triangle exceeds the height by 4 feet if the area is 218.5 square feet find the length of a base and the height of the triangle?
Wiki User
∙ 14y ago
Let the base be x+4 and the length be x:
1/2*(x+4)*x = 218.5 square feet
Multiply both sides by 2 to eliminate the fraction:
(x+4)*x = 437
Multiply out the brackets:
x2+4x = 437
x2+4x-437 = 0
Solving the above by using the quadratic equation formula will result in:
x = -23 or x = 19 so x must be the latter because dimensions can't be negative.
Therefore: base = 23 feet and height = 19 feet
Proof: 1/2*23*19 = 218.5 square feet
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
How do you figure out the height and length of a triangle with 6 square units?
The area of a triangle does not provide enough information to determine its dimensions.
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
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 that has a base of 16 and height of 14?
The area of a triangle equals half of the length of its base times its height.Area of a triangle with base of 16 units and height of 14 units is 112 square units.
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
How do you find out how many square meters are in a triangle?
The area of the triangle in square meters is (1/2 the length of the triangle's base, in meters) times (the length of the triangle's height, in meters).
How do you find the height of an equalateral triangle?
To find the altitude or height of an equilateral triangle, take one-half of the length of a side of the triangle and multiple by "square root" of 3. So, if for example, the side has length 10, the height = 5 Square root of 3.
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 the triangle if the length is 5 and the height is 3?
7.5 square units
Select all the triangles that would have an area of 18 square inches. Answer Choices A triangle with a base length of 9 in. and a height of 2 in. A triangle with a base length of 9 in. and a height of?
The first is clearly not a suitable triangle.
What is the side length?
it depends on what shape it is. square: perimenter/4 is one side's length. triangle: perminter/3 rectangle: perimeter/height = length or perimeter/length = height
How do you calculate height of a equilateral triangle?
square root (3) * side length / 2
What is the formula for square feet of a triagel?
Area of a triangle in square feet = (one half of the length of the base in feet) times (height of the triangle in feet)
How do you figure out the height and length of a triangle with 6 square units?
The area of a triangle does not provide enough information to determine its dimensions.
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
How do you calculate the square foot of a triangle?
Multiply 1/2 the length of the base x the height.
