angelinadomina2003 angelinadomina2003
  • 23-09-2020
  • Mathematics
contestada

The perimeter of an isosceles triangle is 7x+5y-8 units, and the length of the base of the triangle is x-y-2 units. What is the length of each of the congruent sides of the triangle?

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 29-09-2020

Answer:

The length of the congruent side is 3x+3y-3 units

Step-by-step explanation:

An isosceles triangle has 2 of its side equal.

The perimeter is calculated by adding the length of all the sides.

The difference between the perimeter and the base equals the sum of the two congruent sides

Thus;

(7x + 5y -8) - (x -y -2)

= 7x + 5y -8 -x + y + 2

Collect like terms

7x - x + 5y + y -8 + 2

= 6x + 6y -6

Now dividing this by 2 will give the length of the individual congruent side

(6x + 6y -6)/2 = 3x + 3y - 3

Answer Link

Otras preguntas

Joe is planning a trip to Houston and has calculated $450.95 for lodging and $98.00 for food and we’re $114.50 for gasoline. how much will his trip cost?
plz help me with 45/48 show work
6(x-2) +18=2 (x-3) solve for x
The expression below represents the total number of squirrels in a forest after n years
can anyone factorize the given term: x-a
What is the greatest common multiple of 4 and 8 enter the answer
what effect can changing the order of events in a story have
What measure of distribution relates to extreme events, such as a stock market crash? a. kurtosis b. asymmetric c. negatively skewed d. skewness?
The productivity of labor in a firm has decreased due to the recent retirement of many of the firm's most skilled workers. assuming that the firm is a profit ma
write an expression for: the product of 3 and the quantity of a number minus 7