# geometry

posted by .

the area of a triangle is 147 square inches and its height is 1.5 times its base. find the base and the height of the trianle.

• geometry -

let the base be x
then the height is 3x/2

(1/2)(3x/2)(x) = 147
x^2 = 196
x = √196 = 14

so base is 14
height = 21

check: (1/2)(14)(21) = 147

## Similar Questions

1. ### math

ABC is a right-angled triangle atB. AB=(3x+2)cm and BC=2CM.GIVEN THAT THE AREA OF THE TRIANGLE IS 85CM SQUARE FIND THE VALUE OF X. Say that the height= 3x+2 base= 2 Area of a triangle equals 1/2 base times height so... (1/2) of the …
2. ### geometry

the hight of a triangle is four times the length of the base. find the base and height of the triangle if the area is 18 square inches?
3. ### geometry

A triangle's base is 14 inches less than 2 times its height. If h represents the height in inches, and the total area of the triangle is 54 square inches, which of the following equations can be used to determine the height?
4. ### geometry

the area of a triangle is 338 square yards. the height of the triangle is four times its base find the height and base of the triangle
5. ### geometry

If the height of a triangle is one inch more than twice its base, and if the area of the same triangle is 20 square inches, find the base and height of the triangle.
6. ### San Bernardino valley college

The height of a triangle is 3 inches less than 5 times the length of its base. The area is 34 square inches. Find the length of the base and the height of the triangle.
7. ### geometry

The height of a triangle is 25 inches greater than its base. The area of the triangle is 625 square inches. The height of the triangle is inches and the base of the triangle is inches.
8. ### Geometry

a triangle has an area of 35 square inches, and its base is 3 inches more than it's height. Find the base and height of the trianlge
9. ### geometry

the area of a triangle is 27 square feet. its height is three times the length of its base. find the height and base of the triangle. i am unsure of how to set it up, please help