In the Triangle , Is the Midpoint of

question 45

Essay

In the triangle , is the midpoint of and is a point on such that . is the intersection of and .
A) Express in terms of , and
B) Express in terms of , and
C) Write an equation in terms of , and and use the fact that and are nonzero, distinct, and nonparallel to find and

• A) Express in terms of , and
• B) Express in terms of , and
• C) Write an equation in terms of , and and use the fact that and are nonzero, distinct, and nonparallel to find and

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Definitions:

Additive Inverse

A number that when added to a given number results in a sum of zero; essentially, the negative counterpart of a number.

Quotient

The result obtained when one quantity is divided by another.

Standard Form

A way of writing numbers using the digits 0-9, where each digit is placed in a specific location to indicate its value.

Complex Number

A number comprising a real and an imaginary part, expressed as a + bi, where a and b are real numbers, and i is the square root of -1.