Posted by **purpletree** on Sunday, March 29, 2009 at 12:57pm.

The height of a triangle is 1 in. more than twice the base. Find the base and the height if the area of the triangle is 52-1/2 sq in. (Please provide steps/explanation to solve this problem.)

- Quadratic Equations -
**no name**, Sunday, March 29, 2009 at 3:43pm
lets the height of the triangle h, and the base is b

first sentence means h = 1 + 2b

Area of the triangle formula is

A = 1/2(b*h)

since h = 1 + 2b

then A = 1/2 [ b * (1+2b)]

then you just need to replace the A with the given number and solve for b. After you find b, substitute b into h = 1+ 2b to find h

good luck

- Quadratic Equations -
**purpletree**, Monday, March 30, 2009 at 9:22am
Thanks for the help. :)

## Answer This Question

## Related Questions

- Math - Application of Quadratic Equations The base of a triangle is longer than ...
- geometry - If the height of a triangle is one inch more than twice its base, and...
- Algebra Word Problem - COULD SOMEONE PLEASE HELP ME WITH THIS !!!!!!!!!! The ...
- geometry - A right triangle has a base that is 2 more than twice the height. ...
- math - ABC is a right-angled triangle atB. AB=(3x+2)cm and BC=2CM.GIVEN THAT THE...
- Algebra - Shirley is drawing triangles that have the same area. The base of each...
- Algebra - The height of a triangle is 8 m more than twice the length of the base...
- math - The base of a triangle is 5cm greater than the height. The area is 18cm^2...
- Algebra - A triangle has an area of 60 in^2. Its base is 10 inches and its ...
- honors algebra - the area of a triangle is 105 square feet. the height is two ...

More Related Questions