# Algebra

posted by .

the altitude of a triangle is 3m less than half its base. If the area of the triangle is 300 m^2 find the measure of the base.

• Algebra -

Area = 1/2 Height * Base

If base = x, then height = .5x-3

300 = 1/2x(.5x-3)

Solve for x.

• Algebra -

300=1/2x(5x-3)
5x^2-3x-600=0

x1=-10.659
x2=11.259

...we have no negative measure for the BASE so,
b = 11.3m

• Algebra -

300=1/2x(5x-3)
5x^2-3x-600=0

x1=-10.659
x2=11.259

...we have no negative measure for the BASE so,
b = 11.3m

## Similar Questions

1. ### College Algebra

Goemetry Find the area of a triangle whose altitude is 7 ft & whose base is 22 ft. Complete each sentence. Can anyone help me.... Isn't the area of a triangle 1/2 the base times the altitude?
2. ### word problems

how do you solve these using polynomial equations?
3. ### Math

The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 4500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude …
4. ### math

an altitude of triangle is 5/3rd of the length of its corresponding base if their altitude be increased by 4cm and the base is decreased by 2cm, the area of the triangles remain the same. find the base and altitude of triangle ?
5. ### 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?
6. ### math

The base of triangle ABC is one half the altitude.The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF ?
7. ### math

The base of triangle ABC is one half the altitude. The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF?
8. ### Maths (quadratic equation) need help

The altitude of a triangle is 3 less than twice its base.The area of the triangle is 10m^2. Find the altitude and base of the triangle.
9. ### math

a rectangle with side of 6 cm and 5 cm has the same area as an isosceles triangle with base length 12 cm find the altitude to the base of the triangle and the sides of the triangle