Posted by **Gilda** on Monday, July 5, 2010 at 8:42am.

Application of Quadratic Equations

The base of a triangle is longer than twice its corresponding height by 1 cm. The area of the triangle is 105 cm(square). Find the height of the triangle

- Math -
**Reiny**, Monday, July 5, 2010 at 8:48am
height ---- x

base ---- 2x + 1

(1/2)(base)(height) = area

(1/2)(2x+1)(x) = 105

x(2x+1) = 210

2x^2 + x - 210 = 0

(x-10)(2x+21) = 0

x = 10 or x = -21/2 , but obviously x has to be positive, so

x = 10

The height is 10 cm

check:

height is 10

base is 21

area = (1/2)(21)(10) = 105

answer is correct

## Answer This Question

## Related Questions

- Quadratic Equations - The height of a triangle is 1 in. more than twice the base...
- geometry - If the height of a triangle is one inch more than twice its base, and...
- math - i have trouble finding the answer to this and how to srt. there is a ...
- honors algebra - the area of a triangle is 105 square feet. the height is two ...
- math help - suppose a triangle has an area of 10ft^2. IF the base of the ...
- Math please help - suppose a triangle has an area of 10ft^2. IF the base of the ...
- algebra - The base of a triangle is 3 inches less than twice its height If the ...
- geometry - the area of a triangle is 338 square yards. the height of the ...
- math - ABC is a right-angled triangle atB. AB=(3x+2)cm and BC=2CM.GIVEN THAT THE...
- Please help math - suppose a triangle has an area of 10ft^2. IF the base of the ...

More Related Questions