It is due at 11: 59pm. the height of a triangle is 7 inches less than 5 times the length of its base. the area is 26 square inches. find the length of the base and the height of the triangle.

Height: 13 Base: 4

Step-by-step explanation:

First, start by writing an equation.

[(5x-7)*x]/2=26

Because length *height /2 is area of triangle

Then just solve the equation

(5x-7)*x=52

5x^2-7x=52

Then,

5x^2-7x-52=0

Then you factor

(5x+13)(x-4)=0

So then 5x+13=0

5x=-13

x=-2.6

Not possible since negative number so try the other one

x-4=0

x=4

This is correct. You can also check your answer by adding it in.

[(5(4)-7)*(4)]/2=26

[(20-7)*4]/2=26

(13*4)/2=26

52/2=26

26=26

True, so correct.

Base:4

Height: 5*4-7

13