The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

Height: 15 inches.

Base: 24 inches.

Step-by-step explanation:

1. Based on the information shown in the problem, you can write the following expression:

Where b is the base and h is the height.

2. Substitute the expression into the formula fo calculate the area of a triangle and solve for h:

3. By factoring, you obtain:

4. Choose the positive value. Then, the height is 15 inches.

5. The lenght of the base in inches is:

idk

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.