The height of a triangle is 4 inches greater than the base. the area of the triangle is 70 square inches.
find the length of the base and the height of the triangle.

10 inches.

Step-by-step explanation:

We have to solve a system of equations.

The formula to calculate a triangle area is A = (b.h)/2

where b is the base and h is the height. This will be our first equation.

Since the height is 4 inches greater than the base, the second equation will be: h = b+4

We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:

70 = (b . (b+4)) / 2

70 . 2 = b² + 4b

140 = b² +4b

0 = b² + 4b - 140

The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

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step-by-step explanation: