# math help

suppose a triangle has an area of 10ft^2. IF the base of the triangle is 1 foot longer than the height of the triangle, what are the lenghts of the base and height?

1. 👍
2. 👎
3. 👁
1. 1/2 * b * h = 10

b = h + 1

substituting ... h^2 + h - 20 = 0

(h + 5)(h - 4) = 0

h - 4 = 0

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 12 and its height is 8?

2. ### math

The triangle inscribed within square ABCD has, as its base, side AD, and has a height of 6 cm. If the area of the triangle is 21 cm2, what is the area of the shaded region?

3. ### Algebra

How do you find the area of a shaded area in a triangle and assume the area of the largest triangle is one unit? If the largest (outer) triangle has area =1, and it has a base length b and height h, then (1/2) b h = 1 bh = 2 Then

4. ### math

Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 10 and its height is 6

1. ### math

The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.2. Which inequality can be used to find the possible lengths, x, of the base of the triangle?

2. ### Calculus

An isosceles triangle has a vertex at the origin. Determine the area of the largest such triangle that is bound by the function x^2 + 6y = 48. So, y=8 when x=0 making a vertical side equal to 8. I also determined that there is a

3. ### mathh

A right triangle has a height 8 cm more than twice the length of the base. If the area of the triangle is 96 cm2, what are the dimensions of the triangle.

4. ### Math

The area of triangle ABC is divided into four equal parts by segments parallel to the base BC. The longest of these segments is 36 cm. What is the length of base BC? What is the ratio of the dimensions of triangle ADE to the

1. ### Math

The base of a triangle is 3m longer than the height. Find the base if the area of this triangle is 77m^2.

2. ### geometry

Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long. a. Find the length of a leg of the triangle b. Find the altitude of the triangle c. What is the area of the triangle?

3. ### Math / geometery

The area of a right triangle is 336 cm². The base of the right triangle is 48 cm. What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

4. ### Algebra

A triangle has an area of 60 in^2. Its base is 10 inches and its height is √x inches. What is the value of x? What is the height of the triangle? Please show all work that you use to determine your answer. (Hint: The formula for