The height of a triangle is 2 feet greater than the base. the area of the triangle is 199.5 square feet. find the length of the base and the height of the triangle.

Step-by-step explanation:

The area of a triangle is related to the base and height by ...

  A = 1/2bh

Filling in the given information, we can find the base from ...

  199.5 = (1/2)(b)(b+2)

  399 = b^2 +2b . . . . multiply by 2

  400 = (b +1)^2 . . . . add 1 to complete the square

  20 = b +1 . . . . . . . . take the positive square root

  19 = b . . . . . . . . . . . subtract 1

  h = b+2 = 21

The base of the triangle is 19 feet and the height is 21 feet.

87%

step-by-step explanation:

apex answer

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for