138k views
2 votes
HELP WILL GIVE 50 POINTS!!!!

HELP WILL GIVE 50 POINTS!!!!-example-1

1 Answer

1 vote

Answer:

48 = 1/2 * b * (b - 4)

b

Explanation:

According to the problem, the height of the triangle is 4m less than the base. We can express this mathematically as:

height = b - 4

The area of a triangle is given by the formula:

area = 1/2 * base * height

Substituting the given values, we get:

48 = 1/2 * b * (b - 4)

Simplifying the equation:

96 = b^2 - 4b

Rearranging and setting the equation equal to zero:

b^2 - 4b - 96 = 0

We can solve for b using the quadratic formula:

b = (-(-4) ± sqrt((-4)^2 - 4(1)(-96))) / (2(1))

b = (4 ± sqrt(16 + 384)) / 2

b = (4 ± 20) / 2

We take the positive root since the base of a triangle cannot be negative:

b = (4 + 20) / 2

b = 12

Therefore, the length of the base is 12 meters.

but in the question above is b

User Ashwnacharya
by
8.4k points

No related questions found