Answer:
Yes
Step-by-step explanation:
We can use the Pythagorean Theorem to check if this triangle is a right triangle:
Note that 
and 
are the legs of the triangle and 
is the hypotenuse:
Substitute the lengths of the sides into the equation:
Therefore this triangle is a right triangle.
Answer:
Area of the penny = 30 square inches
Step-by-step explanation:
Out triangle-shaped pennants on the first day of school. If each pennant has a base of 5 inches and a height of 12 inches, what is the area of each pennant in square inches?
The pennant is triangular in shape. Hence:
Area of a Triangle = 1/2× Base × Height
Base of the pennant = 5 inches
Height = 12 inches
Area of the pennant = 1/2 × 5 inches × 12 inches
= 30 square inches
The base case is the claim that
which reduces to
which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that
We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that
By the induction hypothesis,
Now compare this to the upper bound we seek:
because
in turn because
Divide 250 miles by 17 mpg:
250 miles
-------------- = 14.7 gallons (absolute mininum). Go for 15 gallons.
17 mpg
1 * -1 = -1 which is not smaller than -1
