Provide an Appropriate Response $\left| \frac { a + b } { 2 } \right| = \left| \frac { a - b } { 2 } \right|$

question 43

Essay

Provide an appropriate response.
-Show that the midpoint of the hypotenuse of a right triangle is equidistant from all three vertices. [Hint: See the figure below. Show that $\left| \frac { a + b } { 2 } \right| = \left| \frac { a - b } { 2 } \right|$ .]

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Definitions:

Rounded Cobbles

Naturally smoothed and rounded small rocks, typically found in riverbeds or beaches, formed by the action of water.

Permeability

A measure of the ability of a material to transmit a fluid.

Natural Cement

A type of cement that naturally forms from the chemical reaction of limestone with clay minerals under specific conditions.

Pores

Small openings on a surface, which allow for the passage of gases, liquids, or microscopic particles.