Math Problem Statement

emma plotted three points on the coordinate plane. She then connected the points to make a right triangle. The three points are shown in the table.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The area of Emma’s right triangle is Response area square units.

Solution

To determine the area of Emma's right triangle, we'll follow these steps:

  1. Identify the coordinates of the three points Emma plotted. Let’s assume these points are A(x1,y1),B(x2,y2),A(x_1, y_1), B(x_2, y_2), and C(x3,y3)C(x_3, y_3) on the coordinate plane. These points will define the triangle.

  2. Check which two sides are perpendicular, indicating they form a right angle. These two sides will serve as the triangle’s base and height.

  3. Use the formula for the area of a triangle:

    Area=12×Base×Height\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}

Once you know the coordinates, identify the base and height, and substitute them into the area formula.

If you provide the coordinates, I can calculate the exact area of the triangle for you.

Let me know if you want to proceed, or upload the table or diagram, and I’ll solve it.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Triangles
Area Calculation

Formulas

Area of a triangle = 1/2 * base * height

Theorems

Pythagorean Theorem
Right Triangle Properties

Suitable Grade Level

Grades 6-8

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