To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:
Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches
The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,
Perimeter = height + base + hypotenuse = 84
We let x = height and y = base. We calculate area as follows:
84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y
Hypotenuse is related to the other sides by the Pythagorean theorem.
Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2
Solving for y and x
y = 28
x = 21
Area = (28)(21) / 2 = 294 square inches
Answer:
$204.11
Step-by-step explanation:
He is paying 70% of the original cost, so he is paying
269.99(0.7) = $188.99
He has to pay 8% sales tax on that discount price, so he pays
$188.99(0.08) = $15.12 tax
for a total of
$188.99 + $15.12 = $204.11
Answer:
2 CLOSED CIRCLE--------->
Step-by-step explanation:
closed circle on two and go the right
The correct answer is D. Why?
In that phase of solving he can not know that integers on each side will be equal or not.
Good luck!!!
