Math, asked by vivaofficial, 6 months ago

the area of the triangle formed by the lines 5x+7y=35 with the coordinate axis​

Answers

Answered by pulakmath007
43

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TO DETERMINE

The area of the triangle formed by the lines 5x+7y=35 with the coordinate axis

CALCULATION

Here the given equation of the line is

 \sf{5x + 7y = 35}

Which can be rewritten as

 \displaystyle \sf{ \frac{5x}{35}  +  \frac{7y}{35}  = 1 \: }

  \implies\displaystyle \sf{ \frac{x}{7}  +  \frac{y}{5}  = 1 \: }

Which is of intercept form

Thus the line cuts the X axis at A ( 7 , 0 ) and Y axis at B( 0, 5 )

The triangle formed by the given line and the coordinate axes is OAB.

GRAPH : The graph is referred to the attachment

CALCULATION OF AREA

The triangle is is a right angled triangle

Where base = OA = 7 unit

Height = OB = 5 unit

Hence the area of the triangle is

 =  \displaystyle \sf{ \frac{1}{2}  \times 7 \times 5} \:   \:  \: \:  \: sq .unit

 =  \displaystyle \sf{ \frac{35}{2}  } \:   \:  \: \:  \: sq .unit

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LEARN MORE FROM BRAINLY

Find the area of triangle bounded by a line

4x+3y=48 with coordinate axes.

https://brainly.in/question/22473306

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