Math Problem Statement

j(−3,4) k(4,4) L(3,−3)

Solution

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Distance Formula
Slope Calculation
Midpoint Formula
Area of Triangles

Formulas

Distance between two points: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Slope of a line: m = (y2 - y1) / (x2 - x1)
Midpoint: M = ((x1 + x2) / 2, (y1 + y2) / 2)
Area of a triangle using coordinates: A = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Theorems

Pythagorean Theorem
Formula for the area of a triangle using vertices

Suitable Grade Level

Grades 9-12

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