Question

Find the area of the triangle formed by the line joining the points (1, 7). (2.-5) with co-ordinate axes.​

Answer 1

Answer:

• The required answer is attached.

Given:

Find the area of the triangle formed by the line joining the points (1, 7). (2.-5) with co-ordinate axes.

Solution:

• Area of triangle .

$= \frac{1}{2} ( {x}^{1} ( {y}^{2} - {y}^{3} ) + {x}^{2} ( {y}^{3} - {y}^{1} ) + {x}^{3} ( {y}^{1} - {y}^{2} )$

$= \frac{1}{2} (1 - ( - 5 - 0) + 2(0 - 7) + 0(7 - ( - 5))$

$= \frac{1}{2} ( - 5 - 14 + 0(12)$

=$\frac{1}{2} ( - 19)$

$= \frac{19}{2}$

$= 9.5 \: unit \: square \:$

#BrainLock.