Question

if x= 2 cm and y=0 the area of square is equal to​

Answer 1

Step-by-step explanation:

The equation of the given lines are

y-x = 0....(1)

x + y =...(2)

x - k = 0...(3)

The point of intersection of lines (1) and (2) is

given by

x = 0 and y = 0

The point of intersection of lines (2) and (3) is

given by

x = k and y = -k

The point of intersection of lines(3) and (1) is given

by

x = k and y = k

Thus, the vertices of the triangle formed by the three given lines are (0, 0), (k, -k), and (k, k)

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We know that the area of the triangle whose

vertices are (x₁, y₁), (x2, y2), and (x3, y3) is 1 | X1(Y2 - Y3) + X2(Y3 - Y₁) + X3(y₁ - y2) |

2

Therefore, area of the triangle formed by the three given lines,

1 2 = | 0(-k-k) + k(k - 0)+k(0+ k) square unts

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1 k² +k² square units

1 2 = |2k²| = k² square units