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For Each Linear Equation, Given Above, Draw the Graph and Then Use the Graph Drawn (In Each Case) to Find the Area of a Triangle Enclosed by the Graph and the Co-ordinates Axes: 3x - (5 - Y) = 7 - Mathematics

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Question

For the linear equation, given above, draw the graph and then use the graph drawn (in the following case) to find the area of a triangle enclosed by the graph and the co-ordinates axes:
3x - (5 - y) = 7

Graph
Sum

Solution

First draw the graph as follows:

This is an right triangle.

Thus the area of the triangle will be:

= `(1)/(2) xx "base" xx "altitude"`

=  `(1)/(2) xx 4 xx 12`

=  24 sq.units

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Graphs of Linear Equations
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Chapter 26: Co-ordinate Geometry - Exercise 26 (B) [Page 320]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 26 Co-ordinate Geometry
Exercise 26 (B) | Q 5.1 | Page 320
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