In ΔABC, M is the midpoint of AB
. Show that AM = MB = MC if A(7, 1), B(1, –7) and
C(1, 1).

AM = MB = MC as .

Step-by-step explanation:

Let , and vertices of triangle ABC and M is the midpoint of AB. From Linear Algebra and Analytical Geometry, we know that midpoint is represented by the following expression:

(Eq. 1)

Now, we proceed to calculate , and by vector differences:

(Eq. 1)

(Eq. 2)

By Pythagorean Theorem, we get the distances of each relative vector herein:

Which proofs that AM = MB = MC. AM = MB = MC as .

a) 32pie square meters

step-by-step explanation:

41*67/2=1373.5

step-by-step explanation:

i just used a calculator