An Isosceles Triangle Is Drawn with Its Vertex at the Origin

question 251

Essay

An isosceles triangle is drawn with its vertex at the origin and its base parallel to the x axis. The vertices of the base are on the curve 5y = 25-x². Find the area of the largest such triangle.

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Definitions:

Import Substitution

A policy aimed at encouraging domestic production of goods that were previously imported.

Labor-intensive Production

A production process that relies more heavily on human labor than on technology or machinery, often characteristic of industries that require skilled workers.

Human Capital Shortages

A situation where there is a lack of adequately skilled or qualified individuals in the workforce to meet the demands of the job market.

Economic Growth

An increase in the production of goods and services in an economy over a period of time, typically measured as a percentage increase in real gross domestic product (GDP).