Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter <em>A</em> is <em>altitude</em>
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter <em>B</em> is <em>angle bisector</em>
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter <em>C</em> is <em>median</em>
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter <em>D</em> (which corresponds with the circumcenter) is <em>perpendicular bisector.</em>
Answer:
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so
where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have
Find the semi-perimeter s
Find the area of triangle
Simplify
7 + 5 + 2 = 14 because seven plus five is twelve, twelve plus two is fourteen.
Answer:
Step-by-step explanation:
We want to find the inverse of the function:
To find the inverse of a function, we will flip the variables and solve for <em>y</em>. So:
Solve for <em>y</em>. Subtract two from both sides:
Divide both sides by two:
And take the principal square root of both sides. Therefore:
Answer: Perpendicular Bisector
