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
The slope:
<span>The denominator can not be <span>zero!
Conclusion: The slope is undenfined.
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Answer:
There is an error in line 2; segment BE should be a perpendicular bisector.
Step-by-step explanation:
I took the test, i got it right. :)
Answer:
Only A and C are functions.
Step-by-step explanation:
X-values cannot repeat in the case of functions.
Angles in a triangle add up to 180 degrees.
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
